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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.av7m.01

 Input Form

 HypergeometricPFQ[{7/2, 7/2, 7/2}, {3/2, 2}, -z] == (4 (-9 + 1683 z - 7921 z^2 + 5313 z^3 - 434 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (1125 Pi z (1 + z)^7) + (4 (-9 + 1683 z - 7921 z^2 + 5313 z^3 - 434 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (1125 Pi z (1 + z)^(13/2)) + (16 (-279 + 1839 z - 1565 z^2 + 157 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (1125 Pi z (1 + z)^6) + (8 (567 - 4803 z + 7373 z^2 - 2497 z^3 + 120 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (1125 Pi z (1 + z)^(13/2))

 Standard Form

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 MathML Form

 3 F 2 ( 7 2 , 7 2 , 7 2 ; 3 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[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[FractionBox["3", "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[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 ( - 434 z 4 + 5313 z 3 - 7921 z 2 + 1683 z - 9 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 1125 π z ( z + 1 ) 13 / 2 + 4 ( - 434 z 4 + 5313 z 3 - 7921 z 2 + 1683 z - 9 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 1125 π z ( z + 1 ) 7 + 16 ( 157 z 3 - 1565 z 2 + 1839 z - 279 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 1125 π z ( z + 1 ) 6 + 8 ( 120 z 4 - 2497 z 3 + 7373 z 2 - 4803 z + 567 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 1125 π z ( z + 1 ) 13 / 2 HypergeometricPFQ 7 2 7 2 7 2 3 2 2 -1 z 4 -434 z 4 5313 z 3 -1 7921 z 2 1683 z -9 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 1125 z z 1 13 2 -1 4 -434 z 4 5313 z 3 -1 7921 z 2 1683 z -9 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 1125 z z 1 7 -1 16 157 z 3 -1 1565 z 2 1839 z -279 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 1125 z z 1 6 -1 8 120 z 4 -1 2497 z 3 7373 z 2 -1 4803 z 567 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 1125 z z 1 13 2 -1 [/itex]

 Rule Form

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

 2007-05-02