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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.acz4.01

 Input Form

 HypergeometricPFQ[{-(5/2), 5/2, 4}, {1, 1}, -z] == ((908 + 16099 z + 58317 z^2 + 72744 z^3 + 29568 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(120 Pi (1 + z)^2) + ((908 + 16099 z + 58317 z^2 + 72744 z^3 + 29568 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (120 Pi (1 + z)^(3/2)) + ((-240 - 6754 z - 34881 z^2 - 57960 z^3 - 29568 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(60 Pi z (1 + z)) + ((120 + 3043 z + 12768 z^2 + 17262 z^3 + 7392 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 5 2 , 4 ; 1 , 1 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "z"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] ( 29568 z 4 + 72744 z 3 + 58317 z 2 + 16099 z + 908 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 120 π ( z + 1 ) 3 / 2 + ( 29568 z 4 + 72744 z 3 + 58317 z 2 + 16099 z + 908 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 120 π ( z + 1 ) 2 + ( - 29568 z 4 - 57960 z 3 - 34881 z 2 - 6754 z - 240 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 60 π z ( z + 1 ) + ( 7392 z 4 + 17262 z 3 + 12768 z 2 + 3043 z + 120 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π z ( z + 1 ) 3 / 2 HypergeometricPFQ -1 5 2 5 2 4 1 1 -1 z 29568 z 4 72744 z 3 58317 z 2 16099 z 908 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 120 z 1 3 2 -1 29568 z 4 72744 z 3 58317 z 2 16099 z 908 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 120 z 1 2 -1 -29568 z 4 -1 57960 z 3 -1 34881 z 2 -1 6754 z -240 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 60 z z 1 -1 7392 z 4 17262 z 3 12768 z 2 3043 z 120 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z z 1 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02