html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Cosh

 http://functions.wolfram.com/01.20.21.4925.01

 Input Form

 Integrate[z^n Cos[a Sqrt[z] + p z + q]^m Sinh[w Sqrt[z] + s z + t]^u Cosh[c Sqrt[z] + f z + g]^v, z] == ((I^u 2^(-m - u - v) z^(1 + n))/(1 + n)) Binomial[m, m/2] Binomial[u, u/2] Binomial[v, v/2] (1 - Mod[m, 2]) (1 - Mod[u, 2]) (1 - Mod[v, 2]) + I^u 2^(-1 - 2 n - m - u - v) Binomial[u, u/2] Binomial[v, v/2] (1 - Mod[u, 2]) (1 - Mod[v, 2]) Sum[Binomial[m, k] (E^(-((I a^2 (2 k - m))/(4 p)) + I (2 k - m) q) (I (2 k - m) p)^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m))^ (-i - l + 2 n) (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z])^(i + l) ((I (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z])^2)/((2 k - m) p))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] (I a (2 k - m) (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z]) Gamma[(1/2) (1 + i + l), (I (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z])^2)/(4 (2 k - m) p)] + 2 I (2 k - m) p Sqrt[(I (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z])^2)/ ((2 k - m) p)] Gamma[(1/2) (2 + i + l), (I (I a (2 k - m) + 2 I (2 k - m) p Sqrt[z])^2)/ (4 (2 k - m) p)]), {i, 0, n}, {l, 0, i}] + E^(-((I a^2 (-2 k + m))/(4 p)) + I (-2 k + m) q) (I (-2 k + m) p)^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m))^(-i - l + 2 n) (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z])^(i + l) ((I (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z])^2)/((-2 k + m) p))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] (I a (-2 k + m) (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z]) Gamma[(1/2) (1 + i + l), (I (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z])^2)/(4 (-2 k + m) p)] + 2 I (-2 k + m) p Sqrt[(I (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z])^2)/ ((-2 k + m) p)] Gamma[(1/2) (2 + i + l), (I (I a (-2 k + m) + 2 I (-2 k + m) p Sqrt[z])^2)/ (4 (-2 k + m) p)]), {i, 0, n}, {l, 0, i}]), {k, 0, Floor[(1/2) (-1 + m)]}] + I^u 2^(-1 - 2 n - m - u - v) Binomial[m, m/2] Binomial[v, v/2] (1 - Mod[m, 2]) (1 - Mod[v, 2]) Sum[(-1)^k Binomial[u, k] (E^(t (2 k - u) + (I Pi u)/2 - ((2 k - u) w^2)/(4 s)) (s (2 k - u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i ((2 k - u) w)^ (-i - l + 2 n) ((2 k - u) w + 2 s (2 k - u) Sqrt[z])^(i + l) (-(((2 k - u) w + 2 s (2 k - u) Sqrt[z])^2/(s (2 k - u))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((2 k - u) w ((2 k - u) w + 2 s (2 k - u) Sqrt[z]) Gamma[(1/2) (1 + i + l), -(((2 k - u) w + 2 s (2 k - u) Sqrt[z])^ 2/(4 s (2 k - u)))] + 2 s (2 k - u) Sqrt[-(((2 k - u) w + 2 s (2 k - u) Sqrt[z])^2/(s (2 k - u)))] Gamma[(1/2) (2 + i + l), -(((2 k - u) w + 2 s (2 k - u) Sqrt[z])^ 2/(4 s (2 k - u)))]), {i, 0, n}, {l, 0, i}] + E^((-(1/2)) I Pi u + t (-2 k + u) - ((-2 k + u) w^2)/(4 s)) (s (-2 k + u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i ((-2 k + u) w)^ (-i - l + 2 n) ((-2 k + u) w + 2 s (-2 k + u) Sqrt[z])^(i + l) (-(((-2 k + u) w + 2 s (-2 k + u) Sqrt[z])^2/(s (-2 k + u))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((-2 k + u) w ((-2 k + u) w + 2 s (-2 k + u) Sqrt[z]) Gamma[(1/2) (1 + i + l), -(((-2 k + u) w + 2 s (-2 k + u) Sqrt[z])^2/(4 s (-2 k + u)))] + 2 s (-2 k + u) Sqrt[-(((-2 k + u) w + 2 s (-2 k + u) Sqrt[z])^2/(s (-2 k + u)))] Gamma[(1/2) (2 + i + l), -(((-2 k + u) w + 2 s (-2 k + u) Sqrt[z])^2/(4 s (-2 k + u)))]), {i, 0, n}, {l, 0, i}]), {k, 0, Floor[(1/2) (-1 + u)]}] + I^u 2^(-1 - 2 n - m - u - v) Binomial[m, m/2] Binomial[u, u/2] (1 - Mod[m, 2]) (1 - Mod[u, 2]) Sum[Binomial[v, h] (E^(-((c^2 (2 h - v))/(4 f)) + g (2 h - v)) (f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (2 h - v))^ (-i - l + 2 n) (c (2 h - v) + 2 f (2 h - v) Sqrt[z])^(i + l) (-((c (2 h - v) + 2 f (2 h - v) Sqrt[z])^2/(f (2 h - v))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] (c (2 h - v) (c (2 h - v) + 2 f (2 h - v) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (2 h - v) + 2 f (2 h - v) Sqrt[z])^ 2/(4 f (2 h - v)))] + 2 f (2 h - v) Sqrt[-((c (2 h - v) + 2 f (2 h - v) Sqrt[z])^2/(f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((c (2 h - v) + 2 f (2 h - v) Sqrt[z])^ 2/(4 f (2 h - v)))]), {i, 0, n}, {l, 0, i}] + E^(-((c^2 (-2 h + v))/(4 f)) + g (-2 h + v)) (f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (-2 h + v))^(-i - l + 2 n) (c (-2 h + v) + 2 f (-2 h + v) Sqrt[z])^(i + l) (-((c (-2 h + v) + 2 f (-2 h + v) Sqrt[z])^2/(f (-2 h + v))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] (c (-2 h + v) (c (-2 h + v) + 2 f (-2 h + v) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (-2 h + v) + 2 f (-2 h + v) Sqrt[z])^2/(4 f (-2 h + v)))] + 2 f (-2 h + v) Sqrt[-((c (-2 h + v) + 2 f (-2 h + v) Sqrt[z])^2/(f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((c (-2 h + v) + 2 f (-2 h + v) Sqrt[z])^2/(4 f (-2 h + v)))]), {i, 0, n}, {l, 0, i}]), {h, 0, Floor[(1/2) (-1 + v)]}] + I^u 2^(-1 - 2 n - m - u - v) Binomial[v, v/2] (1 - Mod[v, 2]) Sum[Binomial[m, k] Sum[(-1)^j Binomial[u, j] (E^(I (2 k - m) q + t (2 j - u) + (I Pi u)/2 - (I a (2 k - m) + (2 j - u) w)^2/(4 (I (2 k - m) p + s (2 j - u)))) (I (2 k - m) p + s (2 j - u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + (2 j - u) w)^(-i - l + 2 n) (I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z])^(i + l) (-((I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z])^2/(I (2 k - m) p + s (2 j - u))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + (2 j - u) w) (I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z])^2/ (4 (I (2 k - m) p + s (2 j - u))))] + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[-((I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z])^2/ (I (2 k - m) p + s (2 j - u)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u)) Sqrt[z])^2/(4 (I (2 k - m) p + s (2 j - u))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q + t (2 j - u) + (I Pi u)/2 - (I a (-2 k + m) + (2 j - u) w)^2/(4 (I (-2 k + m) p + s (2 j - u)))) (I (-2 k + m) p + s (2 j - u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + (2 j - u) w)^(-i - l + 2 n) (I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z])^2/(I (-2 k + m) p + s (2 j - u))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + (2 j - u) w) (I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z])^2/ (4 (I (-2 k + m) p + s (2 j - u))))] + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[-((I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z])^2/ (I (-2 k + m) p + s (2 j - u)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (2 j - u))))]), {i, 0, n}, {l, 0, i}] + E^(I (2 k - m) q - (I Pi u)/2 + t (-2 j + u) - (I a (2 k - m) + (-2 j + u) w)^2/(4 (I (2 k - m) p + s (-2 j + u)))) (I (2 k - m) p + s (-2 j + u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + (-2 j + u) w)^(-i - l + 2 n) (I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z])^(i + l) (-((I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z])^2/(I (2 k - m) p + s (-2 j + u))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + (-2 j + u) w) (I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z])^2/ (4 (I (2 k - m) p + s (-2 j + u))))] + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[-((I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z])^2/ (I (2 k - m) p + s (-2 j + u)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u)) Sqrt[z])^2/(4 (I (2 k - m) p + s (-2 j + u))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q - (I Pi u)/2 + t (-2 j + u) - (I a (-2 k + m) + (-2 j + u) w)^2/(4 (I (-2 k + m) p + s (-2 j + u)))) (I (-2 k + m) p + s (-2 j + u))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + (-2 j + u) w)^(-i - l + 2 n) (I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z])^2/(I (-2 k + m) p + s (-2 j + u))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + (-2 j + u) w) (I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z])^2/ (4 (I (-2 k + m) p + s (-2 j + u))))] + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[-((I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z])^ 2/(I (-2 k + m) p + s (-2 j + u)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u)) Sqrt[z])^2/ (4 (I (-2 k + m) p + s (-2 j + u))))]), {i, 0, n}, {l, 0, i}]), {j, 0, Floor[(1/2) (-1 + u)]}], {k, 0, Floor[(1/2) (-1 + m)]}] + I^u 2^(-1 - 2 n - m - u - v) Binomial[u, u/2] (1 - Mod[u, 2]) Sum[Binomial[m, k] Sum[Binomial[v, h] (E^(I (2 k - m) q - (I a (2 k - m) + c (2 h - v))^2/ (4 (I (2 k - m) p + f (2 h - v))) + g (2 h - v)) (I (2 k - m) p + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (2 h - v))^(-i - l + 2 n) (I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z])^2/(I (2 k - m) p + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (2 h - v)) (I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z])^2/ (4 (I (2 k - m) p + f (2 h - v))))] + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[-((I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z])^2/ (I (2 k - m) p + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (2 h - v) + 2 (I (2 k - m) p + f (2 h - v)) Sqrt[z])^2/(4 (I (2 k - m) p + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q - (I a (-2 k + m) + c (2 h - v))^2/ (4 (I (-2 k + m) p + f (2 h - v))) + g (2 h - v)) (I (-2 k + m) p + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (2 h - v))^(-i - l + 2 n) (I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z])^2/(I (-2 k + m) p + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (2 h - v)) (I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z])^2/ (4 (I (-2 k + m) p + f (2 h - v))))] + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[-((I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z])^2/ (I (-2 k + m) p + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (2 h - v) + 2 (I (-2 k + m) p + f (2 h - v)) Sqrt[z])^2/(4 (I (-2 k + m) p + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (2 k - m) q + g (-2 h + v) - (I a (2 k - m) + c (-2 h + v))^2/ (4 (I (2 k - m) p + f (-2 h + v)))) (I (2 k - m) p + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (-2 h + v))^(-i - l + 2 n) (I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z])^2/(I (2 k - m) p + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (-2 h + v)) (I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z])^2/ (4 (I (2 k - m) p + f (-2 h + v))))] + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[-((I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z])^2/ (I (2 k - m) p + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (-2 h + v) + 2 (I (2 k - m) p + f (-2 h + v)) Sqrt[z])^2/(4 (I (2 k - m) p + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q + g (-2 h + v) - (I a (-2 k + m) + c (-2 h + v))^2/ (4 (I (-2 k + m) p + f (-2 h + v)))) (I (-2 k + m) p + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (-2 h + v))^(-i - l + 2 n) (I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z])^2/(I (-2 k + m) p + f (-2 h + v))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (-2 h + v)) (I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z])^2/ (4 (I (-2 k + m) p + f (-2 h + v))))] + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[-((I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z])^ 2/(I (-2 k + m) p + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (-2 h + v) + 2 (I (-2 k + m) p + f (-2 h + v)) Sqrt[z])^2/ (4 (I (-2 k + m) p + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}]), {h, 0, Floor[(1/2) (-1 + v)]}], {k, 0, Floor[(1/2) (-1 + m)]}] + I^u 2^(-1 - 2 n - m - u - v) Binomial[m, m/2] (1 - Mod[m, 2]) Sum[(-1)^k Binomial[u, k] Sum[Binomial[v, h] (E^(t (2 k - u) + (I Pi u)/2 + g (2 h - v) - (c (2 h - v) + (2 k - u) w)^2/(4 (s (2 k - u) + f (2 h - v)))) (s (2 k - u) + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (2 h - v) + (2 k - u) w)^(-i - l + 2 n) (c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[ z])^(i + l) (-((c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[z])^2/(s (2 k - u) + f (2 h - v))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((c (2 h - v) + (2 k - u) w) (c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[z])^2/(4 (s (2 k - u) + f (2 h - v))))] + 2 (s (2 k - u) + f (2 h - v)) Sqrt[-((c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[z])^2/ (s (2 k - u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((c (2 h - v) + (2 k - u) w + 2 (s (2 k - u) + f (2 h - v)) Sqrt[z])^2/(4 (s (2 k - u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^((-(1/2)) I Pi u + t (-2 k + u) + g (2 h - v) - (c (2 h - v) + (-2 k + u) w)^2/(4 (s (-2 k + u) + f (2 h - v)))) (s (-2 k + u) + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (2 h - v) + (-2 k + u) w)^(-i - l + 2 n) (c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[ z])^(i + l) (-((c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[z])^2/(s (-2 k + u) + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((c (2 h - v) + (-2 k + u) w) (c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[z])^2/ (4 (s (-2 k + u) + f (2 h - v))))] + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[-((c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[z])^2/ (s (-2 k + u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((c (2 h - v) + (-2 k + u) w + 2 (s (-2 k + u) + f (2 h - v)) Sqrt[z])^2/(4 (s (-2 k + u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(t (2 k - u) + (I Pi u)/2 + g (-2 h + v) - (c (-2 h + v) + (2 k - u) w)^2/ (4 (s (2 k - u) + f (-2 h + v)))) (s (2 k - u) + f (-2 h + v))^ (-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (-2 h + v) + (2 k - u) w)^ (-i - l + 2 n) (c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z])^2/(s (2 k - u) + f (-2 h + v))))^ ((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((c (-2 h + v) + (2 k - u) w) (c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z])^2/(4 (s (2 k - u) + f (-2 h + v))))] + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[-((c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z])^2/(s (2 k - u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((c (-2 h + v) + (2 k - u) w + 2 (s (2 k - u) + f (-2 h + v)) Sqrt[z])^2/ (4 (s (2 k - u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}] + E^((-(1/2)) I Pi u + t (-2 k + u) + g (-2 h + v) - (c (-2 h + v) + (-2 k + u) w)^2/(4 (s (-2 k + u) + f (-2 h + v)))) (s (-2 k + u) + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (c (-2 h + v) + (-2 k + u) w)^(-i - l + 2 n) (c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z])^2/(s (-2 k + u) + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((c (-2 h + v) + (-2 k + u) w) (c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z])^2/ (4 (s (-2 k + u) + f (-2 h + v))))] + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[-((c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z])^2/ (s (-2 k + u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((c (-2 h + v) + (-2 k + u) w + 2 (s (-2 k + u) + f (-2 h + v)) Sqrt[z])^2/(4 (s (-2 k + u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}]), {h, 0, Floor[(1/2) (-1 + v)]}], {k, 0, Floor[(1/2) (-1 + u)]}] + I^u 2^(-1 - 2 n - m - u - v) Sum[Binomial[v, h] Sum[Binomial[m, k] Sum[(-1)^j Binomial[u, j] (E^(I (2 k - m) q + t (2 j - u) + (I Pi u)/2 + g (2 h - v) - (I a (2 k - m) + c (2 h - v) + (2 j - u) w)^2/(4 (I (2 k - m) p + s (2 j - u) + f (2 h - v)))) (I (2 k - m) p + s (2 j - u) + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (2 h - v) + (2 j - u) w)^( -i - l + 2 n) (I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/ (I (2 k - m) p + s (2 j - u) + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (2 h - v) + (2 j - u) w) (I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/ (4 (I (2 k - m) p + s (2 j - u) + f (2 h - v))))] + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[-((I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/ (I (2 k - m) p + s (2 j - u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (2 h - v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (2 j - u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q + t (2 j - u) + (I Pi u)/2 + g (2 h - v) - (I a (-2 k + m) + c (2 h - v) + (2 j - u) w)^2/(4 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)))) (I (-2 k + m) p + s (2 j - u) + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (2 h - v) + (2 j - u) w)^ (-i - l + 2 n) (I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/ (I (-2 k + m) p + s (2 j - u) + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (2 h - v) + (2 j - u) w) (I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (2 j - u) + f (2 h - v))))] + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[-((I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^2/(I (-2 k + m) p + s (2 j - u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (2 h - v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (2 h - v)) Sqrt[z])^ 2/(4 (I (-2 k + m) p + s (2 j - u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (2 k - m) q - (I Pi u)/2 + t (-2 j + u) + g (2 h - v) - (I a (2 k - m) + c (2 h - v) + (-2 j + u) w)^2/(4 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)))) (I (2 k - m) p + s (-2 j + u) + f (2 h - v))^ (-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (2 h - v) + (-2 j + u) w)^(-i - l + 2 n) (I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(I (2 k - m) p + s (-2 j + u) + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (2 h - v) + (-2 j + u) w) (I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (-2 j + u) + f (2 h - v))))] + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[-((I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(I (2 k - m) p + s (-2 j + u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (2 h - v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (-2 j + u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q - (I Pi u)/2 + t (-2 j + u) + g (2 h - v) - (I a (-2 k + m) + c (2 h - v) + (-2 j + u) w)^2/(4 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)))) (I (-2 k + m) p + s (-2 j + u) + f (2 h - v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (2 h - v) + (-2 j + u) w)^(-i - l + 2 n) (I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(I (-2 k + m) p + s (-2 j + u) + f (2 h - v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (2 h - v) + (-2 j + u) w) (I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v))))] + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[-((I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(I (-2 k + m) p + s (-2 j + u) + f (2 h - v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (2 h - v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (-2 j + u) + f (2 h - v))))]), {i, 0, n}, {l, 0, i}] + E^(I (2 k - m) q + t (2 j - u) + (I Pi u)/2 + g (-2 h + v) - (I a (2 k - m) + c (-2 h + v) + (2 j - u) w)^2/(4 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)))) (I (2 k - m) p + s (2 j - u) + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (-2 h + v) + (2 j - u) w)^ (-i - l + 2 n) (I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/ (I (2 k - m) p + s (2 j - u) + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (-2 h + v) + (2 j - u) w) (I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (2 j - u) + f (-2 h + v))))] + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[-((I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/(I (2 k - m) p + s (2 j - u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (-2 h + v) + (2 j - u) w + 2 (I (2 k - m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^ 2/(4 (I (2 k - m) p + s (2 j - u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q + t (2 j - u) + (I Pi u)/2 + g (-2 h + v) - (I a (-2 k + m) + c (-2 h + v) + (2 j - u) w)^2/(4 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)))) (I (-2 k + m) p + s (2 j - u) + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (-2 h + v) + (2 j - u) w)^(-i - l + 2 n) (I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/ (I (-2 k + m) p + s (2 j - u) + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (-2 h + v) + (2 j - u) w) (I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v))))] + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[-((I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/(I (-2 k + m) p + s (2 j - u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (-2 h + v) + (2 j - u) w + 2 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (2 j - u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}] + E^(I (2 k - m) q - (I Pi u)/2 + t (-2 j + u) + g (-2 h + v) - (I a (2 k - m) + c (-2 h + v) + (-2 j + u) w)^2/(4 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)))) (I (2 k - m) p + s (-2 j + u) + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (2 k - m) + c (-2 h + v) + (-2 j + u) w)^(-i - l + 2 n) (I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/(I (2 k - m) p + s (-2 j + u) + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (2 k - m) + c (-2 h + v) + (-2 j + u) w) (I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v))))] + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[-((I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/ (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (2 k - m) + c (-2 h + v) + (-2 j + u) w + 2 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (2 k - m) p + s (-2 j + u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}] + E^(I (-2 k + m) q - (I Pi u)/2 + t (-2 j + u) + g (-2 h + v) - (I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w)^ 2/(4 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)))) (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v))^(-2 - 2 n) Sum[(-1)^(i - l) 4^i (I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w)^(-i - l + 2 n) (I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^(i + l) (-((I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/ (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v))))^((1/2) (-1 - i - l)) Binomial[i, l] Binomial[n, i] ((I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w) (I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z]) Gamma[(1/2) (1 + i + l), -((I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v))))] + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[-((I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/ (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)))] Gamma[(1/2) (2 + i + l), -((I a (-2 k + m) + c (-2 h + v) + (-2 j + u) w + 2 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v)) Sqrt[z])^2/(4 (I (-2 k + m) p + s (-2 j + u) + f (-2 h + v))))]), {i, 0, n}, {l, 0, i}]), {j, 0, Floor[(1/2) (-1 + u)]}], {k, 0, Floor[(1/2) (-1 + m)]}], {h, 0, Floor[(1/2) (-1 + v)]}] /; Element[n, Integers] && n >= 0 && Element[m, Integers] && m > 0 && Element[u, Integers] && u > 0 && Element[v, Integers] && v > 0

 Standard Form

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 MathML Form

 z n cos m ( z a + q + p z ) sinh u ( t + s z + w z ) cosh v ( z c + g + f z ) z ( u 2 - m - u - v z n + 1 ) ( m m 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["m", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( u u 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["u", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( v v 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["v", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - m mod 2 \$CellContext`m 2 ) ( 1 - u mod 2 \$CellContext`u 2 ) ( 1 - v mod 2 \$CellContext`v 2 ) n + 1 + 2 - m - 2 n - u - v - 1 u ( u u 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["u", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( v v 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["v", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - u mod 2 \$CellContext`u 2 ) ( 1 - v mod 2 \$CellContext`v 2 ) k = 0 m - 1 2 ( m k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( 2 k - m ) q - a 2 ( 2 k - m ) 4 p ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) ) - i - l + 2 n ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) i + l ( ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) 2 ( 2 k - m ) p ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( a ( 2 k - m ) ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) Γ ( 1 2 ( i + l + 1 ) , ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) 2 4 ( 2 k - m ) p ) + 2 ( 2 k - m ) p ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) 2 ( 2 k - m ) p Γ ( 1 2 ( i + l + 2 ) , ( a ( 2 k - m ) + 2 p z ( 2 k - m ) ) 2 4 ( 2 k - m ) p ) ) ) ( ( 2 k - m ) p ) - 2 n - 2 + ( m - 2 k ) q - a 2 ( m - 2 k ) 4 p ( ( m - 2 k ) p ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 k ) ) - i - l + 2 n ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) i + l ( ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) 2 ( m - 2 k ) p ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( a ( m - 2 k ) ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) Γ ( 1 2 ( i + l + 1 ) , ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) 2 4 ( m - 2 k ) p ) + 2 ( m - 2 k ) p ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) 2 ( m - 2 k ) p Γ ( 1 2 ( i + l + 2 ) , ( a ( m - 2 k ) + 2 p z ( m - 2 k ) ) 2 4 ( m - 2 k ) p ) ) ) + 2 - m - 2 n - u - v - 1 u ( m m 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["m", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( v v 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["v", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - m mod 2 \$CellContext`m 2 ) ( 1 - v mod 2 \$CellContext`v 2 ) k = 0 u - 1 2 ( - 1 ) k ( u k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( - ( 2 k - u ) w 2 4 s + t ( 2 k - u ) + π u 2 ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( ( 2 k - u ) w ) - i - l + 2 n ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) i + l ( - ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) 2 s ( 2 k - u ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( 2 k - u ) w ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) Γ ( 1 2 ( i + l + 1 ) , - ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) 2 4 s ( 2 k - u ) ) + 2 s ( 2 k - u ) - ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) 2 s ( 2 k - u ) Γ ( 1 2 ( i + l + 2 ) , - ( w ( 2 k - u ) + 2 s z ( 2 k - u ) ) 2 4 s ( 2 k - u ) ) ) ) ( s ( 2 k - u ) ) - 2 n - 2 + - ( u - 2 k ) w 2 4 s - π u 2 + t ( u - 2 k ) ( s ( u - 2 k ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( ( u - 2 k ) w ) - i - l + 2 n ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) i + l ( - ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) 2 s ( u - 2 k ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( u - 2 k ) w ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) Γ ( 1 2 ( i + l + 1 ) , - ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) 2 4 s ( u - 2 k ) ) + 2 s ( u - 2 k ) - ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) 2 s ( u - 2 k ) Γ ( 1 2 ( i + l + 2 ) , - ( w ( u - 2 k ) + 2 s z ( u - 2 k ) ) 2 4 s ( u - 2 k ) ) ) ) + 2 - m - 2 n - u - v - 1 u ( m m 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["m", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( u u 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["u", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - m mod 2 \$CellContext`m 2 ) ( 1 - u mod 2 \$CellContext`u 2 ) h = 0 v - 1 2 ( v h ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox["h", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( g ( 2 h - v ) - c 2 ( 2 h - v ) 4 f ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( 2 h - v ) ) - i - l + 2 n ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) i + l ( - ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) 2 f ( 2 h - v ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( c ( 2 h - v ) ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) Γ ( 1 2 ( i + l + 1 ) , - ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) 2 4 f ( 2 h - v ) ) + 2 f ( 2 h - v ) - ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) 2 f ( 2 h - v ) Γ ( 1 2 ( i + l + 2 ) , - ( c ( 2 h - v ) + 2 f z ( 2 h - v ) ) 2 4 f ( 2 h - v ) ) ) ) ( f ( 2 h - v ) ) - 2 n - 2 + g ( v - 2 h ) - c 2 ( v - 2 h ) 4 f ( f ( v - 2 h ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( v - 2 h ) ) - i - l + 2 n ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) i + l ( - ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) 2 f ( v - 2 h ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( c ( v - 2 h ) ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) Γ ( 1 2 ( i + l + 1 ) , - ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) 2 4 f ( v - 2 h ) ) + 2 f ( v - 2 h ) - ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) 2 f ( v - 2 h ) Γ ( 1 2 ( i + l + 2 ) , - ( c ( v - 2 h ) + 2 f z ( v - 2 h ) ) 2 4 f ( v - 2 h ) ) ) ) + 2 - m - 2 n - u - v - 1 u ( v v 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["v", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - v mod 2 \$CellContext`v 2 ) k = 0 m - 1 2 ( m k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] j = 0 u - 1 2 ( - 1 ) j ( u j ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox["j", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( - ( a ( 2 k - m ) + ( 2 j - u ) w ) 2 4 ( ( 2 k - m ) p + s ( 2 j - u ) ) + ( 2 k - m ) q + t ( 2 j - u ) + π u 2 ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) + ( 2 j - u ) w ) - i - l + 2 n ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) i + l ( - ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) 2 / ( ( 2 k - m ) p + s ( 2 j - u ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( 2 k - m ) + ( 2 j - u ) w ) ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( 2 j - u ) ) ) ) + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( 2 j - u ) ) ) ) ( - ( a ( 2 k - m ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) ) z ) 2 / ( ( 2 k - m ) p + s ( 2 j - u ) ) ) ) ) ( ( 2 k - m ) p + s ( 2 j - u ) ) - 2 n - 2 + - ( a ( m - 2 k ) + ( 2 j - u ) w ) 2 4 ( ( m - 2 k ) p + s ( 2 j - u ) ) + ( m - 2 k ) q + t ( 2 j - u ) + π u 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 k ) + ( 2 j - u ) w ) - i - l + 2 n ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) i + l ( - ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) 2 / ( ( m - 2 k ) p + s ( 2 j - u ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( m - 2 k ) + ( 2 j - u ) w ) ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + s ( 2 j - u ) ) ) ) + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + s ( 2 j - u ) ) ) ) ( - ( a ( m - 2 k ) + ( 2 j - u ) w + 2 ( ( m - 2 k ) p + s ( 2 j - u ) ) z ) 2 / ( ( m - 2 k ) p + s ( 2 j - u ) ) ) ) + - ( a ( 2 k - m ) + ( u - 2 j ) w ) 2 4 ( ( 2 k - m ) p + s ( u - 2 j ) ) + ( 2 k - m ) q + t ( u - 2 j ) - π u 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) + ( u - 2 j ) w ) - i - l + 2 n ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) i + l ( - ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) 2 / ( ( 2 k - m ) p + s ( u - 2 j ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( 2 k - m ) + ( u - 2 j ) w ) ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( u - 2 j ) ) ) ) + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( u - 2 j ) ) ) ) ( - ( a ( 2 k - m ) + ( u - 2 j ) w + 2 ( ( 2 k - m ) p + s ( u - 2 j ) ) z ) 2 / ( ( 2 k - m ) p + s ( u - 2 j ) ) ) ) + - ( a ( m - 2 k ) + ( u - 2 j ) w ) 2 4 ( ( m - 2 k ) p + s ( u - 2 j ) ) + ( m - 2 k ) q + t ( u - 2 j ) - π u 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 k ) + ( u - 2 j ) w ) - i - l + 2 n ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) i + l ( - ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) 2 / ( ( m - 2 k ) p + s ( u - 2 j ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( m - 2 k ) + ( u - 2 j ) w ) ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + s ( u - 2 j ) ) ) ) + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + s ( u - 2 j ) ) ) ) ( - ( a ( m - 2 k ) + ( u - 2 j ) w + 2 ( ( m - 2 k ) p + s ( u - 2 j ) ) z ) 2 / ( ( m - 2 k ) p + s ( u - 2 j ) ) ) ) ) + 2 - m - 2 n - u - v - 1 u ( u u 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["u", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - u mod 2 \$CellContext`u 2 ) k = 0 m - 1 2 ( m k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] h = 0 v - 1 2 ( v h ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox["h", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( - ( a ( 2 k - m ) + c ( 2 h - v ) ) 2 4 ( ( 2 k - m ) p + f ( 2 h - v ) ) + ( 2 k - m ) q + g ( 2 h - v ) ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) + c ( 2 h - v ) ) - i - l + 2 n ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) i + l ( - ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) 2 / ( ( 2 k - m ) p + f ( 2 h - v ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( 2 k - m ) + c ( 2 h - v ) ) ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + f ( 2 h - v ) ) ) ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + f ( 2 h - v ) ) ) ) ( - ( a ( 2 k - m ) + c ( 2 h - v ) + 2 ( ( 2 k - m ) p + f ( 2 h - v ) ) z ) 2 / ( ( 2 k - m ) p + f ( 2 h - v ) ) ) ) ) ( ( 2 k - m ) p + f ( 2 h - v ) ) - 2 n - 2 + - ( a ( m - 2 k ) + c ( 2 h - v ) ) 2 4 ( ( m - 2 k ) p + f ( 2 h - v ) ) + ( m - 2 k ) q + g ( 2 h - v ) ( ( m - 2 k ) p + f ( 2 h - v ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 k ) + c ( 2 h - v ) ) - i - l + 2 n ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) i + l ( - ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) 2 / ( ( m - 2 k ) p + f ( 2 h - v ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( m - 2 k ) + c ( 2 h - v ) ) ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + f ( 2 h - v ) ) ) ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + f ( 2 h - v ) ) ) ) ( - ( a ( m - 2 k ) + c ( 2 h - v ) + 2 ( ( m - 2 k ) p + f ( 2 h - v ) ) z ) 2 / ( ( m - 2 k ) p + f ( 2 h - v ) ) ) ) + - ( a ( 2 k - m ) + c ( v - 2 h ) ) 2 4 ( ( 2 k - m ) p + f ( v - 2 h ) ) + ( 2 k - m ) q + g ( v - 2 h ) ( ( 2 k - m ) p + f ( v - 2 h ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) + c ( v - 2 h ) ) - i - l + 2 n ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) i + l ( - ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) 2 / ( ( 2 k - m ) p + f ( v - 2 h ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( 2 k - m ) + c ( v - 2 h ) ) ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + f ( v - 2 h ) ) ) ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + f ( v - 2 h ) ) ) ) ( - ( a ( 2 k - m ) + c ( v - 2 h ) + 2 ( ( 2 k - m ) p + f ( v - 2 h ) ) z ) 2 / ( ( 2 k - m ) p + f ( v - 2 h ) ) ) ) + - ( a ( m - 2 k ) + c ( v - 2 h ) ) 2 4 ( ( m - 2 k ) p + f ( v - 2 h ) ) + ( m - 2 k ) q + g ( v - 2 h ) ( ( m - 2 k ) p + f ( v - 2 h ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 k ) + c ( v - 2 h ) ) - i - l + 2 n ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) i + l ( - ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) 2 / ( ( m - 2 k ) p + f ( v - 2 h ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( m - 2 k ) + c ( v - 2 h ) ) ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + f ( v - 2 h ) ) ) ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) 2 / ( 4 ( ( m - 2 k ) p + f ( v - 2 h ) ) ) ) ( - ( a ( m - 2 k ) + c ( v - 2 h ) + 2 ( ( m - 2 k ) p + f ( v - 2 h ) ) z ) 2 / ( ( m - 2 k ) p + f ( v - 2 h ) ) ) ) ) + 2 - m - 2 n - u - v - 1 u ( m m 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox[FractionBox["m", "2"], Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( 1 - m mod 2 \$CellContext`m 2 ) k = 0 u - 1 2 ( - 1 ) k ( u k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] h = 0 v - 1 2 ( v h ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox["h", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( - ( c ( 2 h - v ) + ( 2 k - u ) w ) 2 4 ( s ( 2 k - u ) + f ( 2 h - v ) ) + t ( 2 k - u ) + π u 2 + g ( 2 h - v ) ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( 2 h - v ) + ( 2 k - u ) w ) - i - l + 2 n ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) i + l ( - ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) 2 / ( s ( 2 k - u ) + f ( 2 h - v ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( c ( 2 h - v ) + ( 2 k - u ) w ) ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) Γ ( 1 2 ( i + l + 1 ) , - ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) 2 / ( 4 ( s ( 2 k - u ) + f ( 2 h - v ) ) ) ) + 2 ( s ( 2 k - u ) + f ( 2 h - v ) ) Γ ( 1 2 ( i + l + 2 ) , - ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) 2 / ( 4 ( s ( 2 k - u ) + f ( 2 h - v ) ) ) ) ( - ( 2 z ( s ( 2 k - u ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( 2 k - u ) w ) 2 / ( s ( 2 k - u ) + f ( 2 h - v ) ) ) ) ) ( s ( 2 k - u ) + f ( 2 h - v ) ) - 2 n - 2 + - ( c ( 2 h - v ) + ( u - 2 k ) w ) 2 4 ( s ( u - 2 k ) + f ( 2 h - v ) ) - π u 2 + t ( u - 2 k ) + g ( 2 h - v ) ( s ( u - 2 k ) + f ( 2 h - v ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( 2 h - v ) + ( u - 2 k ) w ) - i - l + 2 n ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) i + l ( - ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) 2 s ( u - 2 k ) + f ( 2 h - v ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( c ( 2 h - v ) + ( u - 2 k ) w ) ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) Γ ( 1 2 ( i + l + 1 ) , - ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) 2 / ( 4 ( s ( u - 2 k ) + f ( 2 h - v ) ) ) ) + 2 ( s ( u - 2 k ) + f ( 2 h - v ) ) Γ ( 1 2 ( i + l + 2 ) , - ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) 2 / ( 4 ( s ( u - 2 k ) + f ( 2 h - v ) ) ) ) ( - ( 2 z ( s ( u - 2 k ) + f ( 2 h - v ) ) + c ( 2 h - v ) + ( u - 2 k ) w ) 2 / ( s ( u - 2 k ) + f ( 2 h - v ) ) ) ) + - ( c ( v - 2 h ) + ( 2 k - u ) w ) 2 4 ( s ( 2 k - u ) + f ( v - 2 h ) ) + t ( 2 k - u ) + π u 2 + g ( v - 2 h ) ( s ( 2 k - u ) + f ( v - 2 h ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( v - 2 h ) + ( 2 k - u ) w ) - i - l + 2 n ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) i + l ( - ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) 2 s ( 2 k - u ) + f ( v - 2 h ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( c ( v - 2 h ) + ( 2 k - u ) w ) ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) 2 / ( 4 ( s ( 2 k - u ) + f ( v - 2 h ) ) ) ) + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) Γ ( 1 2 ( i + l + 2 ) , - ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) 2 / ( 4 ( s ( 2 k - u ) + f ( v - 2 h ) ) ) ) ( - ( c ( v - 2 h ) + ( 2 k - u ) w + 2 ( s ( 2 k - u ) + f ( v - 2 h ) ) z ) 2 / ( s ( 2 k - u ) + f ( v - 2 h ) ) ) ) + - ( c ( v - 2 h ) + ( u - 2 k ) w ) 2 4 ( s ( u - 2 k ) + f ( v - 2 h ) ) - π u 2 + t ( u - 2 k ) + g ( v - 2 h ) ( s ( u - 2 k ) + f ( v - 2 h ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( c ( v - 2 h ) + ( u - 2 k ) w ) - i - l + 2 n ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) i + l ( - ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) 2 s ( u - 2 k ) + f ( v - 2 h ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( c ( v - 2 h ) + ( u - 2 k ) w ) ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) 2 / ( 4 ( s ( u - 2 k ) + f ( v - 2 h ) ) ) ) + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) Γ ( 1 2 ( i + l + 2 ) , - ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) 2 / ( 4 ( s ( u - 2 k ) + f ( v - 2 h ) ) ) ) ( - ( c ( v - 2 h ) + ( u - 2 k ) w + 2 ( s ( u - 2 k ) + f ( v - 2 h ) ) z ) 2 / ( s ( u - 2 k ) + f ( v - 2 h ) ) ) ) ) + 2 - m - 2 n - u - v - 1 u h = 0 v - 1 2 ( v h ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["v", Identity, Rule[Editable, True]]], List[TagBox["h", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] k = 0 m - 1 2 ( m k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] j = 0 u - 1 2 ( - 1 ) j ( u j ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["u", Identity, Rule[Editable, True]]], List[TagBox["j", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( - ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w ) 2 4 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) + ( 2 k - m ) q + t ( 2 j - u ) + π u 2 + g ( 2 h - v ) ( i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w ) - i - l + 2 n ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) i + l ( - ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) 2 / ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) ) 1 2 ( - i - l - 1 ) ( i l ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["i", Identity, Rule[Editable, True]]], List[TagBox["l", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( n i ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["n", Identity, Rule[Editable, True]]], List[TagBox["i", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] ( ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w ) ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) Γ ( 1 2 ( i + l + 1 ) , - ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) ) ) + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) Γ ( 1 2 ( i + l + 2 ) , - ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) 2 / ( 4 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) ) ) ( - ( a ( 2 k - m ) + c ( 2 h - v ) + ( 2 j - u ) w + 2 ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) z ) 2 / ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) ) ) ) ( ( 2 k - m ) p + s ( 2 j - u ) + f ( 2 h - v ) ) - 2 n - 2 + - ( a ( m - 2 k ) + c ( 2 h - v ) + ( 2 j - u ) w ) 2 4 ( ( m - 2 k ) p + s ( 2 j - u ) + f ( 2 h - v ) ) + ( m - 2 k ) q + t ( 2 j - u ) + π u 2 + g ( 2 h - v ) ( ( m - 2 k ) p + s ( 2 j - u ) + f ( 2 h - v ) ) - 2 n - 2 i = 0 n l = 0 i ( - 1 ) i - l 4 i ( a ( m - 2 &