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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8h9.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), 7/2}, {1/2, 1}, -z] == (2 (23 - 517 z + 428 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(5 Pi) + (2 Sqrt[1 + z] (23 - 517 z + 428 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(5 Pi) + (4 (-5 + 206 z - 57 z^2 - 268 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(5 Pi z) + (4 Sqrt[1 + z] (5 - 229 z + 574 z^2 - 160 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(5 Pi z)

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , 7 2 ; 1 2 , 1 ; - 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["5", "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["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", 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] 2 z + 1 ( 428 z 2 - 517 z + 23 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 5 π + 2 ( 428 z 2 - 517 z + 23 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 5 π + 4 ( - 268 z 3 - 57 z 2 + 206 z - 5 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 5 π z + 4 z + 1 ( - 160 z 3 + 574 z 2 - 229 z + 5 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 5 π z HypergeometricPFQ -1 5 2 -1 5 2 7 2 1 2 1 -1 z 2 z 1 1 2 428 z 2 -1 517 z 23 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 5 -1 2 428 z 2 -1 517 z 23 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 5 -1 4 -268 z 3 -1 57 z 2 206 z -5 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 5 z -1 4 z 1 1 2 -160 z 3 574 z 2 -1 229 z 5 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 5 z -1 [/itex]

 Rule Form

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

 2007-05-02