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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.au2i.01

 Input Form

 HypergeometricPFQ[{5/2, 5/2, 3}, {1, 4}, -z] == (4 (-64 - 176 z - 153 z^2 - 33 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(3 Pi z^3 (1 + z)^3) + (4 (-64 - 176 z - 153 z^2 - 33 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(3 Pi z^3 (1 + z)^(5/2)) + (32 (8 + 15 z + 6 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z^3 (1 + z)^2) + (8 (32 + 84 z + 69 z^2 + 9 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z^3 (1 + z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 5 2 , 3 ; 1 , 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["5", "2"], 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[TagBox[RowBox[List[TagBox["1", 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[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] 4 ( - 33 z 3 - 153 z 2 - 176 z - 64 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 3 π z 3 ( z + 1 ) 5 / 2 + 4 ( - 33 z 3 - 153 z 2 - 176 z - 64 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 3 π z 3 ( z + 1 ) 3 + 32 ( 6 z 2 + 15 z + 8 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 3 π z 3 ( z + 1 ) 2 + 8 ( 9 z 3 + 69 z 2 + 84 z + 32 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 3 π z 3 ( z + 1 ) 5 / 2 HypergeometricPFQ 5 2 5 2 3 1 4 -1 z 4 -33 z 3 -1 153 z 2 -1 176 z -64 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 3 z 3 z 1 5 2 -1 4 -33 z 3 -1 153 z 2 -1 176 z -64 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 3 z 3 z 1 3 -1 32 6 z 2 15 z 8 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 3 z 3 z 1 2 -1 8 9 z 3 69 z 2 84 z 32 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 3 z 3 z 1 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02