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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9mt.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), 1/2}, {2, 2}, z] == -((32 (2105 - 6729 z - 243 z^2 + 16 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (11025 Pi^2 z)) - (32 Sqrt[1 - z] (-1580 + 2239 z + 4 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (11025 Pi^2 z) + (32 (2105 - 6729 z - 243 z^2 + 16 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (11025 Pi^2 z) + (16 Sqrt[1 - z] (-1580 + 2239 z + 4 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(11025 Pi^2 z) - (32 (790 - 2827 z - 61 z^2 + 4 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (11025 Pi^2 z)

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , 1 2 ; 2 , 2 ; 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[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["1", "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["2", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["2", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 32 ( 16 z 3 - 243 z 2 - 6729 z + 2105 ) E ( 1 2 - 1 - z 2 ) 2 11025 π 2 z - 32 1 - z ( 4 z 2 + 2239 z - 1580 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 11025 π 2 z + 32 ( 16 z 3 - 243 z 2 - 6729 z + 2105 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 11025 π 2 z + 16 1 - z ( 4 z 2 + 2239 z - 1580 ) K ( 1 2 - 1 - z 2 ) 2 11025 π 2 z - 32 ( 4 z 3 - 61 z 2 - 2827 z + 790 ) K ( 1 2 - 1 - z 2 ) 2 11025 π 2 z HypergeometricPFQ -1 5 2 -1 1 2 1 2 2 2 z -1 32 16 z 3 -1 243 z 2 -1 6729 z 2105 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 11025 2 z -1 -1 32 1 -1 z 1 2 4 z 2 2239 z -1580 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 11025 2 z -1 32 16 z 3 -1 243 z 2 -1 6729 z 2105 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 11025 2 z -1 16 1 -1 z 1 2 4 z 2 2239 z -1580 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 11025 2 z -1 -1 32 4 z 3 -1 61 z 2 -1 2827 z 790 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 11025 2 z -1 [/itex]

 Rule Form

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

 2007-05-02