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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{5/2, 7/2, 7/2}, {3, 4}, z] == -((1024 (8 - 14 z + 3 z^2) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (225 Pi^2 (-1 + z)^2 z^3)) + (1024 (8 - 14 z + 3 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(225 Pi^2 (-1 + z)^2 z^3) - (1024 Sqrt[1 - z] (8 - 21 z + 16 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(225 Pi^2 (-1 + z)^3 z^3) - (512 (-8 + 9 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2 (-1 + z) z^3) + (512 Sqrt[1 - z] (8 - 21 z + 16 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (225 Pi^2 (-1 + z)^3 z^3)

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 7 2 , 7 2 ; 3 , 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "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["3", 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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 1024 ( 3 z 2 - 14 z + 8 ) E ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) 2 z 3 + 1024 ( 3 z 2 - 14 z + 8 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 225 π 2 ( z - 1 ) 2 z 3 - 1024 1 - z ( 16 z 2 - 21 z + 8 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 225 π 2 ( z - 1 ) 3 z 3 - 512 ( 9 z - 8 ) K ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) z 3 + 512 1 - z ( 16 z 2 - 21 z + 8 ) K ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) 3 z 3 HypergeometricPFQ 5 2 7 2 7 2 3 4 z -1 1024 3 z 2 -1 14 z 8 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 2 z 3 -1 1024 3 z 2 -1 14 z 8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 225 2 z -1 2 z 3 -1 -1 1024 1 -1 z 1 2 16 z 2 -1 21 z 8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 225 2 z -1 3 z 3 -1 -1 512 9 z -8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 z 3 -1 512 1 -1 z 1 2 16 z 2 -1 21 z 8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 3 z 3 -1 [/itex]

 Rule Form

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

 2007-05-02