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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.av86.01

 Input Form

 HypergeometricPFQ[{7/2, 7/2, 7/2}, {3, 3}, z] == (512 (-1 + 8 z + 14 z^2) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (675 Pi^2 (-1 + z)^4 z^2) - (512 (-1 + 8 z + 14 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(675 Pi^2 (-1 + z)^4 z^2) - (512 Sqrt[1 - z] (3 - 28 z + 77 z^2 + 53 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (3375 Pi^2 (-1 + z)^5 z^2) + (256 (3 - 23 z - 15 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (3375 Pi^2 (-1 + z)^3 z^2) + (256 Sqrt[1 - z] (3 - 28 z + 77 z^2 + 53 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3375 Pi^2 (-1 + z)^5 z^2)

 Standard Form

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 MathML Form

 3 F 2 ( 7 2 , 7 2 , 7 2 ; 3 , 3 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["7", "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["3", 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] 512 ( 14 z 2 + 8 z - 1 ) E ( 1 2 - 1 - z 2 ) 2 675 π 2 ( z - 1 ) 4 z 2 - 512 ( 14 z 2 + 8 z - 1 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 675 π 2 ( z - 1 ) 4 z 2 - 512 1 - z ( 53 z 3 + 77 z 2 - 28 z + 3 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3375 π 2 ( z - 1 ) 5 z 2 + 256 ( - 15 z 2 - 23 z + 3 ) K ( 1 2 - 1 - z 2 ) 2 3375 π 2 ( z - 1 ) 3 z 2 + 256 1 - z ( 53 z 3 + 77 z 2 - 28 z + 3 ) K ( 1 2 - 1 - z 2 ) 2 3375 π 2 ( z - 1 ) 5 z 2 HypergeometricPFQ 7 2 7 2 7 2 3 3 z 512 14 z 2 8 z -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 675 2 z -1 4 z 2 -1 -1 512 14 z 2 8 z -1 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 675 2 z -1 4 z 2 -1 -1 512 1 -1 z 1 2 53 z 3 77 z 2 -1 28 z 3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 3375 2 z -1 5 z 2 -1 256 -15 z 2 -1 23 z 3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3375 2 z -1 3 z 2 -1 256 1 -1 z 1 2 53 z 3 77 z 2 -1 28 z 3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3375 2 z -1 5 z 2 -1 [/itex]

 Rule Form

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

 2007-05-02