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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(1/2), -(1/2), 5/2}, {-(5/2), 1}, -z] == (2 (81 + 225 z + 200 z^2 + 64 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(45 Pi (1 + z)^3) + (2 (81 + 225 z + 200 z^2 + 64 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(45 Pi (1 + z)^(5/2)) + (4 (-45 - 153 z - 168 z^2 - 64 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(45 Pi z (1 + z)^2) + (4 (45 + 117 z + 96 z^2 + 32 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(45 Pi z (1 + z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 1 2 , - 1 2 , 5 2 ; - 5 2 , 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["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["5", "2"]]], 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] 2 ( 64 z 3 + 200 z 2 + 225 z + 81 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 45 π ( z + 1 ) 5 / 2 + 2 ( 64 z 3 + 200 z 2 + 225 z + 81 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 45 π ( z + 1 ) 3 + 4 ( - 64 z 3 - 168 z 2 - 153 z - 45 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 45 π z ( z + 1 ) 2 + 4 ( 32 z 3 + 96 z 2 + 117 z + 45 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 45 π z ( z + 1 ) 5 / 2 HypergeometricPFQ -1 1 2 -1 1 2 5 2 -1 5 2 1 -1 z 2 64 z 3 200 z 2 225 z 81 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 45 z 1 5 2 -1 2 64 z 3 200 z 2 225 z 81 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 45 z 1 3 -1 4 -64 z 3 -1 168 z 2 -1 153 z -45 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 45 z z 1 2 -1 4 32 z 3 96 z 2 117 z 45 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 45 z z 1 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02