| |  
 |  | 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | http://functions.wolfram.com/01.20.21.2643.01 | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | Integrate[z^n Cosh[d z + e]^m Cosh[c Sqrt[z]]^v, z] == 
  (1/(1 + n)) (2^(-m - v) z^(1 + n) Binomial[m, m/2] Binomial[v, v/2] 
     (1 - Mod[m, 2]) (1 - Mod[v, 2])) - 2^(-m - v) Binomial[v, v/2] 
    (1 - Mod[v, 2]) Sum[Binomial[m, k] 
      (E^(e (2 k - m)) ((-d) (2 k - m))^(-1 - n) Gamma[1 + n, 
         (-d) (2 k - m) z] + E^(e (-2 k + m)) ((-d) (-2 k + m))^(-1 - n) 
        Gamma[1 + n, (-d) (-2 k + m) z]), {k, 0, Floor[(1/2) (-1 + m)]}] - 
   2^(1 - m - v) Binomial[m, m/2] (1 - Mod[m, 2]) 
    Sum[Binomial[v, s] (Gamma[2 (1 + n), (-c) (2 s - v) Sqrt[z]]/
        ((-c) (2 s - v))^(2 (1 + n)) + 
       Gamma[2 (1 + n), (-c) (-2 s + v) Sqrt[z]]/((-c) (-2 s + v))^
         (2 (1 + n))), {s, 0, Floor[(1/2) (-1 + v)]}] + 
   2^(-1 - m - 2 n - v) Sum[Binomial[m, j] 
      Sum[Binomial[v, s] (E^(e (2 j - m) - (c^2 (2 s - v)^2)/(4 d (2 j - m))) 
          (d (2 j - m))^(-2 - 2 n) Sum[(-1)^(-h + k) 4^k (c (2 s - v))^
             (-h - k + 2 n) (c (2 s - v) + 2 d (2 j - m) Sqrt[z])^(h + k) 
            (-((c (2 s - v) + 2 d (2 j - m) Sqrt[z])^2/(d (2 j - m))))^
             ((1/2) (-1 - h - k)) Binomial[k, h] Binomial[n, k] 
            (c (2 s - v) (c (2 s - v) + 2 d (2 j - m) Sqrt[z]) 
              Gamma[(1/2) (1 + h + k), -((c (2 s - v) + 2 d (2 j - m) 
                    Sqrt[z])^2/(4 d (2 j - m)))] + 2 d (2 j - m) 
              Sqrt[-((c (2 s - v) + 2 d (2 j - m) Sqrt[z])^2/(d (2 j - m)))] 
              Gamma[(1/2) (2 + h + k), -((c (2 s - v) + 2 d (2 j - m) 
                    Sqrt[z])^2/(4 d (2 j - m)))]), {k, 0, n}, {h, 0, k}] + 
         E^(e (2 j - m) - (c^2 (-2 s + v)^2)/(4 d (2 j - m))) 
          (d (2 j - m))^(-2 - 2 n) Sum[(-1)^(-h + k) 4^k (c (-2 s + v))^
             (-h - k + 2 n) (c (-2 s + v) + 2 d (2 j - m) Sqrt[z])^(h + k) 
            (-((c (-2 s + v) + 2 d (2 j - m) Sqrt[z])^2/(d (2 j - m))))^
             ((1/2) (-1 - h - k)) Binomial[k, h] Binomial[n, k] 
            (c (-2 s + v) (c (-2 s + v) + 2 d (2 j - m) Sqrt[z]) 
              Gamma[(1/2) (1 + h + k), -((c (-2 s + v) + 2 d (2 j - m) 
                    Sqrt[z])^2/(4 d (2 j - m)))] + 2 d (2 j - m) 
              Sqrt[-((c (-2 s + v) + 2 d (2 j - m) Sqrt[z])^2/(d (2 j - m)))] 
              Gamma[(1/2) (2 + h + k), -((c (-2 s + v) + 2 d (2 j - m) 
                    Sqrt[z])^2/(4 d (2 j - m)))]), {k, 0, n}, {h, 0, k}] + 
         E^(e (-2 j + m) - (c^2 (2 s - v)^2)/(4 d (-2 j + m))) 
          (d (-2 j + m))^(-2 - 2 n) Sum[(-1)^(-h + k) 4^k (c (2 s - v))^
             (-h - k + 2 n) (c (2 s - v) + 2 d (-2 j + m) Sqrt[z])^(h + k) 
            (-((c (2 s - v) + 2 d (-2 j + m) Sqrt[z])^2/(d (-2 j + m))))^
             ((1/2) (-1 - h - k)) Binomial[k, h] Binomial[n, k] 
            (c (2 s - v) (c (2 s - v) + 2 d (-2 j + m) Sqrt[z]) 
              Gamma[(1/2) (1 + h + k), -((c (2 s - v) + 2 d (-2 j + m) 
                    Sqrt[z])^2/(4 d (-2 j + m)))] + 2 d (-2 j + m) 
              Sqrt[-((c (2 s - v) + 2 d (-2 j + m) Sqrt[z])^2/
                 (d (-2 j + m)))] Gamma[(1/2) (2 + h + k), 
               -((c (2 s - v) + 2 d (-2 j + m) Sqrt[z])^2/(4 d (-2 j + 
                   m)))]), {k, 0, n}, {h, 0, k}] + 
         E^(e (-2 j + m) - (c^2 (-2 s + v)^2)/(4 d (-2 j + m))) 
          (d (-2 j + m))^(-2 - 2 n) Sum[(-1)^(-h + k) 4^k (c (-2 s + v))^
             (-h - k + 2 n) (c (-2 s + v) + 2 d (-2 j + m) Sqrt[z])^(h + k) 
            (-((c (-2 s + v) + 2 d (-2 j + m) Sqrt[z])^2/(d (-2 j + m))))^
             ((1/2) (-1 - h - k)) Binomial[k, h] Binomial[n, k] 
            (c (-2 s + v) (c (-2 s + v) + 2 d (-2 j + m) Sqrt[z]) 
              Gamma[(1/2) (1 + h + k), -((c (-2 s + v) + 2 d (-2 j + m) 
                    Sqrt[z])^2/(4 d (-2 j + m)))] + 2 d (-2 j + m) 
              Sqrt[-((c (-2 s + v) + 2 d (-2 j + m) Sqrt[z])^2/
                 (d (-2 j + m)))] Gamma[(1/2) (2 + h + k), 
               -((c (-2 s + v) + 2 d (-2 j + m) Sqrt[z])^2/(4 d (-2 j + 
                   m)))]), {k, 0, n}, {h, 0, k}]), 
       {s, 0, Floor[(1/2) (-1 + v)]}], {j, 0, Floor[(1/2) (-1 + m)]}] /; 
 Element[n, Integers] && n >= 0 && Element[m, Integers] && m > 0 && 
  Element[v, Integers] && v > 0 | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["z", "n"], SuperscriptBox[RowBox[List["Cosh", "[", RowBox[List[RowBox[List["d", " ", "z"]], "+", "e"]], "]"]], "m"], SuperscriptBox[RowBox[List["Cosh", "[", RowBox[List["c", " ", SqrtBox["z"]]], "]"]], "v"], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List[FractionBox["1", RowBox[List["1", "+", "n"]]], RowBox[List["(", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "m"]], "-", "v"]]], " ", SuperscriptBox["z", RowBox[List["1", "+", "n"]]], " ", RowBox[List["Binomial", "[", RowBox[List["m", ",", FractionBox["m", "2"]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["v", ",", FractionBox["v", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["m", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["v", ",", "2"]], "]"]]]], ")"]]]], ")"]]]], "-", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "m"]], "-", "v"]]], " ", RowBox[List["Binomial", "[", RowBox[List["v", ",", FractionBox["v", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["v", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["m", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "1"]], "-", "n"]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]], " ", "z"]]]], "]"]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "1"]], "-", "n"]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]], " ", "z"]]]], "]"]]]]]], ")"]]]]]]]], "-", RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "m", "-", "v"]]], " ", RowBox[List["Binomial", "[", RowBox[List["m", ",", FractionBox["m", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["m", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["s", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "v"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["v", ",", "s"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]], ",", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", SqrtBox["z"]]]]], "]"]]]], "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]], ",", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", SqrtBox["z"]]]]], "]"]]]]]], ")"]]]]]]]], "+", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "1"]], "-", "m", "-", RowBox[List["2", " ", "n"]], "-", "v"]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["m", ",", "j"]], "]"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["s", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "v"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["v", ",", "s"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]]]], ")"]]]]]]]]]]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]], "\[And]", RowBox[List["m", "\[Element]", "Integers"]], "\[And]", RowBox[List["m", ">", "0"]], "\[And]", RowBox[List["v", "\[Element]", "Integers"]], "\[And]", RowBox[List["v", ">", "0"]]]]]]]] | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 | | 
   <math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'>  <semantics>  <mrow>  <mrow>  <mrow>  <mo> ∫ </mo>  <mrow>  <mrow>  <msup>  <mi> z </mi>  <mi> n </mi>  </msup>  <mo> ⁢ </mo>  <mrow>  <msup>  <mi> cosh </mi>  <mi> m </mi>  </msup>  <mo> ( </mo>  <mrow>  <mi> e </mi>  <mo> + </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <msup>  <mi> cosh </mi>  <mi> v </mi>  </msup>  <mo> ( </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ⅆ </mo>  <mi> z </mi>  </mrow>  </mrow>  </mrow>  <mo> ⩵ </mo>  <mrow>  <mrow>  <mfrac>  <mrow>  <msup>  <mn> 2 </mn>  <mrow>  <mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <semantics>  <mrow>  <mi> m </mi>  <mo> ⁢ </mo>  <mi> mod </mi>  <mo> ⁢ </mo>  <mn> 2 </mn>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <rem />  <ci> $CellContext`m </ci>  <cn type='integer'> 2 </cn>  </apply>  </annotation-xml>  </semantics>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <semantics>  <mrow>  <mi> v </mi>  <mo> ⁢ </mo>  <mi> mod </mi>  <mo> ⁢ </mo>  <mn> 2 </mn>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <rem />  <ci> $CellContext`v </ci>  <cn type='integer'> 2 </cn>  </apply>  </annotation-xml>  </semantics>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  </mfrac>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> m </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mfrac>  <mi> m </mi>  <mn> 2 </mn>  </mfrac>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox[FractionBox["m", "2"], Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> v </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mfrac>  <mi> v </mi>  <mn> 2 </mn>  </mfrac>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity]], List[TagBox[FractionBox["v", "2"], Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  </mrow>  <mtext>   </mtext>  <mo> - </mo>  <mrow>  <msup>  <mn> 2 </mn>  <mrow>  <mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> v </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mfrac>  <mi> v </mi>  <mn> 2 </mn>  </mfrac>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity]], List[TagBox[FractionBox["v", "2"], Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <semantics>  <mrow>  <mi> v </mi>  <mo> ⁢ </mo>  <mi> mod </mi>  <mo> ⁢ </mo>  <mn> 2 </mn>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <rem />  <ci> $CellContext`v </ci>  <cn type='integer'> 2 </cn>  </apply>  </annotation-xml>  </semantics>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> k </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mrow>  <mo> ⌊ </mo>  <mfrac>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 2 </mn>  </mfrac>  <mo> ⌋ </mo>  </mrow>  </munderover>  <mrow>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> m </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> , </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> d </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> d </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> d </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> , </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> d </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> k </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> - </mo>  <mrow>  <msup>  <mn> 2 </mn>  <mrow>  <mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> m </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mfrac>  <mi> m </mi>  <mn> 2 </mn>  </mfrac>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox[FractionBox["m", "2"], Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <semantics>  <mrow>  <mi> m </mi>  <mo> ⁢ </mo>  <mi> mod </mi>  <mo> ⁢ </mo>  <mn> 2 </mn>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <rem />  <ci> $CellContext`m </ci>  <cn type='integer'> 2 </cn>  </apply>  </annotation-xml>  </semantics>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> s </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mrow>  <mo> ⌊ </mo>  <mfrac>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 2 </mn>  </mfrac>  <mo> ⌋ </mo>  </mrow>  </munderover>  <mrow>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> v </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> s </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity]], List[TagBox["s", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> c </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> c </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> c </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> n </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> c </mi>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mn> 2 </mn>  <mrow>  <mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> j </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mrow>  <mo> ⌊ </mo>  <mfrac>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 2 </mn>  </mfrac>  <mo> ⌋ </mo>  </mrow>  </munderover>  <mrow>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> m </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> j </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox["j", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> s </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mrow>  <mo> ⌊ </mo>  <mfrac>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 2 </mn>  </mfrac>  <mo> ⌋ </mo>  </mrow>  </munderover>  <mrow>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> v </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> s </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity]], List[TagBox["s", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mfrac>  <mrow>  <msup>  <mi> c </mi>  <mn> 2 </mn>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> k </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> n </mi>  </munderover>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> h </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> k </mi>  </munderover>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> k </mi>  <mo> - </mo>  <mi> h </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mn> 4 </mn>  <mi> k </mi>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> h </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["k", Identity]], List[TagBox["h", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> n </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 2 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mfrac>  <mrow>  <msup>  <mi> c </mi>  <mn> 2 </mn>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> k </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> n </mi>  </munderover>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> h </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> k </mi>  </munderover>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> k </mi>  <mo> - </mo>  <mi> h </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mn> 4 </mn>  <mi> k </mi>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> h </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["k", Identity]], List[TagBox["h", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> n </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 2 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  <mo> - </mo>  <mi> m </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mfrac>  <mrow>  <msup>  <mi> c </mi>  <mn> 2 </mn>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> k </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> n </mi>  </munderover>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> h </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> k </mi>  </munderover>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> k </mi>  <mo> - </mo>  <mi> h </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mn> 4 </mn>  <mi> k </mi>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> h </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["k", Identity]], List[TagBox["h", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> n </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 2 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  <mo> - </mo>  <mi> v </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mrow>  <mi> e </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mfrac>  <mrow>  <msup>  <mi> c </mi>  <mn> 2 </mn>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> k </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> n </mi>  </munderover>  <mrow>  <munderover>  <mo> ∑ </mo>  <mrow>  <mi> h </mi>  <mo> = </mo>  <mn> 0 </mn>  </mrow>  <mi> k </mi>  </munderover>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> k </mi>  <mo> - </mo>  <mi> h </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mn> 4 </mn>  <mi> k </mi>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> n </mi>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  </mrow>  </msup>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> h </mi>  </mrow>  <mo> - </mo>  <mi> k </mi>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </msup>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> h </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["k", Identity]], List[TagBox["h", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mo> ( </mo>  <mtable>  <mtr>  <mtd>  <mi> n </mi>  </mtd>  </mtr>  <mtr>  <mtd>  <mi> k </mi>  </mtd>  </mtr>  </mtable>  <mo> ) </mo>  </mrow>  <annotation encoding='Mathematica'> TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] </annotation>  </semantics>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mi> Γ </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> h </mi>  <mo> + </mo>  <mi> k </mi>  <mo> + </mo>  <mn> 2 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> z </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> v </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> s </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mn> 2 </mn>  </msup>  <mrow>  <mn> 4 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> m </mi>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> j </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  </mrow>  <mo> /; </mo>  <mrow>  <mrow>  <mi> n </mi>  <mo> ∈ </mo>  <mi> ℕ </mi>  </mrow>  <mo> ∧ </mo>  <mrow>  <mi> m </mi>  <mo> ∈ </mo>  <msup>  <mi> ℕ </mi>  <mo> + </mo>  </msup>  </mrow>  <mo> ∧ </mo>  <mrow>  <mi> v </mi>  <mo> ∈ </mo>  <msup>  <mi> ℕ </mi>  <mo> + </mo>  </msup>  </mrow>  </mrow>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <ci> Condition </ci>  <apply>  <eq />  <apply>  <int />  <bvar>  <ci> z </ci>  </bvar>  <apply>  <times />  <apply>  <power />  <ci> z </ci>  <ci> n </ci>  </apply>  <apply>  <power />  <apply>  <cosh />  <apply>  <plus />  <ci> e </ci>  <apply>  <times />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  </apply>  <ci> m </ci>  </apply>  <apply>  <power />  <apply>  <cosh />  <apply>  <times />  <ci> c </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <apply>  <power />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <rem />  <ci> $CellContext`m </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <rem />  <ci> $CellContext`v </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> m </ci>  <apply>  <times />  <ci> m </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> v </ci>  <apply>  <times />  <ci> v </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> v </ci>  <apply>  <times />  <ci> v </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <rem />  <ci> $CellContext`v </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> k </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <apply>  <floor />  <apply>  <times />  <apply>  <plus />  <ci> m </ci>  <cn type='integer'> -1 </cn>  </apply>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </uplimit>  <apply>  <times />  <apply>  <ci> Binomial </ci>  <ci> m </ci>  <ci> k </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> d </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> d </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> d </ci>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> d </ci>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> k </ci>  </apply>  </apply>  </apply>  <ci> z </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> m </ci>  <apply>  <times />  <ci> m </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <rem />  <ci> $CellContext`m </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> s </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <apply>  <floor />  <apply>  <times />  <apply>  <plus />  <ci> v </ci>  <cn type='integer'> -1 </cn>  </apply>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </uplimit>  <apply>  <times />  <apply>  <ci> Binomial </ci>  <ci> v </ci>  <ci> s </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> c </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> c </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> c </ci>  </apply>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <ci> n </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> c </ci>  </apply>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <cn type='integer'> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> n </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> j </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <apply>  <floor />  <apply>  <times />  <apply>  <plus />  <ci> m </ci>  <cn type='integer'> -1 </cn>  </apply>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </uplimit>  <apply>  <times />  <apply>  <ci> Binomial </ci>  <ci> m </ci>  <ci> j </ci>  </apply>  <apply>  <sum />  <bvar>  <ci> s </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <apply>  <floor />  <apply>  <times />  <apply>  <plus />  <ci> v </ci>  <cn type='integer'> -1 </cn>  </apply>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </uplimit>  <apply>  <times />  <apply>  <ci> Binomial </ci>  <ci> v </ci>  <ci> s </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <plus />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <ci> c </ci>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -2 </cn>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> h </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> k </ci>  </uplimit>  <apply>  <sum />  <bvar>  <ci> k </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> n </ci>  </uplimit>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <apply>  <plus />  <ci> k </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <cn type='integer'> 4 </cn>  <ci> k </ci>  </apply>  <apply>  <power />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> n </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> k </ci>  <ci> h </ci>  </apply>  <apply>  <ci> Binomial </ci>  <ci> n </ci>  <ci> k </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <plus />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <ci> c </ci>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -2 </cn>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> h </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> k </ci>  </uplimit>  <apply>  <sum />  <bvar>  <ci> k </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> n </ci>  </uplimit>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <apply>  <plus />  <ci> k </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <cn type='integer'> 4 </cn>  <ci> k </ci>  </apply>  <apply>  <power />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> n </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> k </ci>  <ci> h </ci>  </apply>  <apply>  <ci> Binomial </ci>  <ci> n </ci>  <ci> k </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> m </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <plus />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <ci> c </ci>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -2 </cn>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> h </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> k </ci>  </uplimit>  <apply>  <sum />  <bvar>  <ci> k </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> n </ci>  </uplimit>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <apply>  <plus />  <ci> k </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <cn type='integer'> 4 </cn>  <ci> k </ci>  </apply>  <apply>  <power />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> n </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> k </ci>  <ci> h </ci>  </apply>  <apply>  <ci> Binomial </ci>  <ci> n </ci>  <ci> k </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> v </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <plus />  <apply>  <times />  <ci> e </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <ci> c </ci>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> n </ci>  </apply>  <cn type='integer'> -2 </cn>  </apply>  </apply>  <apply>  <sum />  <bvar>  <ci> h </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> k </ci>  </uplimit>  <apply>  <sum />  <bvar>  <ci> k </ci>  </bvar>  <lowlimit>  <cn type='integer'> 0 </cn>  </lowlimit>  <uplimit>  <ci> n </ci>  </uplimit>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <apply>  <plus />  <ci> k </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <cn type='integer'> 4 </cn>  <ci> k </ci>  </apply>  <apply>  <power />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> n </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> h </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> k </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <ci> Binomial </ci>  <ci> k </ci>  <ci> h </ci>  </apply>  <apply>  <ci> Binomial </ci>  <ci> n </ci>  <ci> k </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <ci> Gamma </ci>  <apply>  <times />  <cn type='rational'> 1 <sep /> 2 </cn>  <apply>  <plus />  <ci> h </ci>  <ci> k </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <ci> c </ci>  <apply>  <plus />  <ci> v </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> s </ci>  </apply>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 4 </cn>  <ci> d </ci>  <apply>  <plus />  <ci> m </ci>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> j </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <and />  <apply>  <in />  <ci> n </ci>  <ci> ℕ </ci>  </apply>  <apply>  <in />  <ci> m </ci>  <apply>  <ci> SuperPlus </ci>  <ci> ℕ </ci>  </apply>  </apply>  <apply>  <in />  <ci> v </ci>  <apply>  <ci> SuperPlus </ci>  <ci> ℕ </ci>  </apply>  </apply>  </apply>  </apply>  </annotation-xml>  </semantics>  </math> 
   | 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  |  
 |  
 |  
 |  |  
 |  |  
 |  |  
 |  
 |  
 |  |  
 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", "n_"], " ", SuperscriptBox[RowBox[List["Cosh", "[", RowBox[List[RowBox[List["d_", " ", "z_"]], "+", "e_"]], "]"]], "m_"], " ", SuperscriptBox[RowBox[List["Cosh", "[", RowBox[List["c_", " ", SqrtBox["z_"]]], "]"]], "v_"]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "m"]], "-", "v"]]], " ", SuperscriptBox["z", RowBox[List["1", "+", "n"]]], " ", RowBox[List["Binomial", "[", RowBox[List["m", ",", FractionBox["m", "2"]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["v", ",", FractionBox["v", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["m", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["v", ",", "2"]], "]"]]]], ")"]]]], RowBox[List["1", "+", "n"]]], "-", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "m"]], "-", "v"]]], " ", RowBox[List["Binomial", "[", RowBox[List["v", ",", FractionBox["v", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["v", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["m", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "1"]], "-", "n"]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "m"]], ")"]], " ", "z"]]]], "]"]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "1"]], "-", "n"]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List[RowBox[List["-", "d"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "k"]], "+", "m"]], ")"]], " ", "z"]]]], "]"]]]]]], ")"]]]]]]]], "-", RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "m", "-", "v"]]], " ", RowBox[List["Binomial", "[", RowBox[List["m", ",", FractionBox["m", "2"]]], "]"]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["Mod", "[", RowBox[List["m", ",", "2"]], "]"]]]], ")"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["s", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "v"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["v", ",", "s"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]], ",", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", SqrtBox["z"]]]]], "]"]]]], "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]], ",", RowBox[List[RowBox[List["-", "c"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", SqrtBox["z"]]]]], "]"]]]]]], ")"]]]]]]]], "+", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "1"]], "-", "m", "-", RowBox[List["2", " ", "n"]], "-", "v"]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["m", ",", "j"]], "]"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["s", "=", "0"]], RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "v"]], ")"]]]], "]"]]], RowBox[List[RowBox[List["Binomial", "[", RowBox[List["v", ",", "s"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "j"]], "-", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "s"]], "-", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["e", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], "-", FractionBox[RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], "2"]]], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "2"]], "-", RowBox[List["2", " ", "n"]]]]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["h", "=", "0"]], "k"], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List[RowBox[List["-", "h"]], "+", "k"]]], " ", SuperscriptBox["4", "k"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], ")"]], RowBox[List[RowBox[List["-", "h"]], "-", "k", "+", RowBox[List["2", " ", "n"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], RowBox[List["h", "+", "k"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]], ")"]], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "h", "-", "k"]], ")"]]]]], " ", RowBox[List["Binomial", "[", RowBox[List["k", ",", "h"]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List["n", ",", "k"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["2", "+", "h", "+", "k"]], ")"]]]], ",", RowBox[List["-", FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "s"]], "+", "v"]], ")"]]]], "+", RowBox[List["2", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]], " ", SqrtBox["z"]]]]], ")"]], "2"], RowBox[List["4", " ", "d", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "j"]], "+", "m"]], ")"]]]]]]]]], "]"]]]]]], ")"]]]]]]]]]]]], ")"]]]]]]]]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]], "&&", RowBox[List["m", "\[Element]", "Integers"]], "&&", RowBox[List["m", ">", "0"]], "&&", RowBox[List["v", "\[Element]", "Integers"]], "&&", RowBox[List["v", ">", "0"]]]]]]]]]] | 
 |  
 |   
 |  
 |  
 | |   
 |  
 |  
 |  
 |  
 |  
 |  
 | | Date Added to functions.wolfram.com (modification date) | 
 |  
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |   
 |  
 |  
 |  |  | 
 
 
 | 
 |