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/01.20.21.3872.01

 Input Form

 Integrate[E^(p z) Cosh[d z] Cosh[e z] (a + b Sin[c z]^2)^\[Beta], z] == ((1/4) (a - ((1/4) b (-1 + E^(2 I c z))^2)/E^(2 I c z))^\[Beta] ((E^((d - e + p) z) AppellF1[-((I (d - e + p))/(2 c)) - \[Beta], -\[Beta], -\[Beta], 1 - (I (d - e + p))/(2 c) - \[Beta], (b E^(2 I c z))/(2 a + b + 2 Sqrt[a (a + b)]), (b E^(2 I c z))/(2 a + b - 2 Sqrt[a (a + b)])])/ (d - e + p - 2 I c \[Beta]) - (E^((-d + e + p) z) AppellF1[-((I (-d + e + p))/(2 c)) - \[Beta], -\[Beta], -\[Beta], 1 - (I (-d + e + p))/(2 c) - \[Beta], (b E^(2 I c z))/(2 a + b + 2 Sqrt[a (a + b)]), (b E^(2 I c z))/(2 a + b - 2 Sqrt[a (a + b)])])/ (d - e - p + 2 I c \[Beta]) + (E^((d + e + p) z) AppellF1[-((I (d + e + p))/(2 c)) - \[Beta], -\[Beta], -\[Beta], 1 - (I (d + e + p))/(2 c) - \[Beta], (b E^(2 I c z))/(2 a + b + 2 Sqrt[a (a + b)]), (b E^(2 I c z))/(2 a + b - 2 Sqrt[a (a + b)])])/ (d + e + p - 2 I c \[Beta]) - AppellF1[(I (d + e - p + 2 I c \[Beta]))/(2 c), -\[Beta], -\[Beta], 1 + (I (d + e - p))/(2 c) - \[Beta], (b E^(2 I c z))/ (2 a + b + 2 Sqrt[a (a + b)]), (b E^(2 I c z))/ (2 a + b - 2 Sqrt[a (a + b)])]/E^((d + e - p) z)/ (d + e - p + 2 I c \[Beta])))/ ((1 - (b E^(2 I c z))/(2 a + b - 2 Sqrt[a (a + b)]))^\[Beta] (1 - (b E^(2 I c z))/(2 a + b + 2 Sqrt[a (a + b)]))^\[Beta])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["p", " ", "z"]]], RowBox[List["Cosh", "[", RowBox[List["d", " ", "z"]], "]"]], RowBox[List["Cosh", "[", RowBox[List["e", " ", "z"]], "]"]], SuperscriptBox[RowBox[List["(", RowBox[List["a", "+", RowBox[List["b", " ", SuperscriptBox[RowBox[List["Sin", "[", RowBox[List["c", " ", "z"]], "]"]], "2"]]]]], ")"]], "\[Beta]"], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", "4"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], ")"]], RowBox[List["-", "\[Beta]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], ")"]], RowBox[List["-", "\[Beta]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["a", "-", RowBox[List[FractionBox["1", "4"], " ", "b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", "c", " ", "z"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], ")"]], "2"]]]]], ")"]], "\[Beta]"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], ")"]], "/", RowBox[List["(", RowBox[List["d", "-", "e", "+", "p", "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]], "-", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], ")"]], "/", RowBox[List["(", RowBox[List["d", "-", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], ")"]], "/", RowBox[List["(", RowBox[List["d", "+", "e", "+", "p", "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]], "-", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p"]], ")"]]]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]], RowBox[List["2", " ", "c"]]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "+", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], ")"]], "/", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]]]], ")"]]]]]]]]

 MathML Form

 p z cosh ( d z ) cosh ( e z ) ( a + b sin 2 ( c z ) ) β z 1 4 ( 1 - b 2 c z 2 a + b - 2 a ( a + b ) ) - β ( 1 - b 2 c z 2 a + b + 2 a ( a + b ) ) - β ( a - 1 4 b - 2 c z ( - 1 + 2 c z ) 2 ) β ( ( d - e + p ) z d - e + p - 2 c β F 1 AppellF1 ( - ( d - e + p ) 2 c - β ; - β , - β ; - ( d - e + p ) 2 c - β + 1 ; b 2 c z 2 a + b + 2 a ( a + b ) , b 2 c z 2 a + b - 2 a ( a + b ) ) + ( d + e + p ) z d + e + p - 2 c β F 1 AppellF1 ( - ( d + e + p ) 2 c - β ; - β , - β ; - ( d + e + p ) 2 c - β + 1 ; b 2 c z 2 a + b + 2 a ( a + b ) , b 2 c z 2 a + b - 2 a ( a + b ) ) - ( - d + e + p ) z d - e - p + 2 c β F 1 AppellF1 ( - ( - d + e + p ) 2 c - β ; - β , - β ; - ( - d + e + p ) 2 c - β + 1 ; b 2 c z 2 a + b + 2 a ( a + b ) , b 2 c z 2 a + b - 2 a ( a + b ) ) - - ( d + e - p ) z d + e - p + 2 c β F 1 AppellF1 ( ( d + e - p + 2 c β ) 2 c ; - β , - β ; ( d + e - p ) 2 c - β + 1 ; b 2 c z 2 a + b + 2 a ( a + b ) , b 2 c z 2 a + b - 2 a ( a + b ) ) ) z p z d z e z a b c z 2 β 1 4 1 -1 b 2 c z 2 a b -1 2 a a b 1 2 -1 -1 β 1 -1 b 2 c z 2 a b 2 a a b 1 2 -1 -1 β a -1 1 4 b -2 c z -1 2 c z 2 β d -1 e p z d -1 e p -1 2 c β -1 AppellF1 -1 d -1 e p 2 c -1 -1 β -1 β -1 β -1 d -1 e p 2 c -1 -1 β 1 b 2 c z 2 a b 2 a a b 1 2 -1 b 2 c z 2 a b -1 2 a a b 1 2 -1 d e p z d e p -1 2 c β -1 AppellF1 -1 d e p 2 c -1 -1 β -1 β -1 β -1 d e p 2 c -1 -1 β 1 b 2 c z 2 a b 2 a a b 1 2 -1 b 2 c z 2 a b -1 2 a a b 1 2 -1 -1 -1 d e p z d -1 e -1 p 2 c β -1 AppellF1 -1 -1 d e p 2 c -1 -1 β -1 β -1 β -1 -1 d e p 2 c -1 -1 β 1 b 2 c z 2 a b 2 a a b 1 2 -1 b 2 c z 2 a b -1 2 a a b 1 2 -1 -1 -1 d e -1 p z d e -1 p 2 c β -1 AppellF1 d e -1 p 2 c β 2 c -1 -1 β -1 β d e -1 p 2 c -1 -1 β 1 b 2 c z 2 a b 2 a a b 1 2 -1 b 2 c z 2 a b -1 2 a a b 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["p_", " ", "z_"]]], " ", RowBox[List["Cosh", "[", RowBox[List["d_", " ", "z_"]], "]"]], " ", RowBox[List["Cosh", "[", RowBox[List["e_", " ", "z_"]], "]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["a_", "+", RowBox[List["b_", " ", SuperscriptBox[RowBox[List["Sin", "[", RowBox[List["c_", " ", "z_"]], "]"]], "2"]]]]], ")"]], "\[Beta]_"]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "4"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], ")"]], RowBox[List["-", "\[Beta]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], ")"]], RowBox[List["-", "\[Beta]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["a", "-", RowBox[List[FractionBox["1", "4"], " ", "b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", "c", " ", "z"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], ")"]], "2"]]]]], ")"]], "\[Beta]"], " ", RowBox[List["(", RowBox[List[FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "-", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], RowBox[List["d", "-", "e", "+", "p", "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]]], "-", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "d"]], "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], RowBox[List["d", "-", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]]], "+", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]]]], "-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "+", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], RowBox[List["d", "+", "e", "+", "p", "-", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]]], "-", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p"]], ")"]]]], " ", "z"]]], " ", RowBox[List["AppellF1", "[", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]], ")"]]]], RowBox[List["2", " ", "c"]]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["-", "\[Beta]"]], ",", RowBox[List["1", "+", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["d", "+", "e", "-", "p"]], ")"]]]], RowBox[List["2", " ", "c"]]], "-", "\[Beta]"]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "+", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]], ",", FractionBox[RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "z"]]]]], RowBox[List[RowBox[List["2", " ", "a"]], "+", "b", "-", RowBox[List["2", " ", SqrtBox[RowBox[List["a", " ", RowBox[List["(", RowBox[List["a", "+", "b"]], ")"]]]]]]]]]]]], "]"]]]], RowBox[List["d", "+", "e", "-", "p", "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "c", " ", "\[Beta]"]]]]]]], ")"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2002-12-18