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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a95o.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), 5/2}, {-(1/2), 3}, -z] == -((32 (5 - 17 z - 333 z^2 - 2063 z^3 + 224 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2205 Pi z^2)) - (32 Sqrt[1 + z] (5 - 17 z - 333 z^2 - 2063 z^3 + 224 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2205 Pi z^2) - (32 Sqrt[1 + z] (-5 - 258 z - 1461 z^2 + 2744 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2205 Pi z^2) + (32 (5 - 292 z - 2127 z^2 - 1382 z^3 + 448 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2205 Pi z^2)

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , 5 2 ; - 1 2 , 3 ; - 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["3", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "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[RowBox[List["-", FractionBox["1", "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[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] - 32 z + 1 ( 224 z 4 - 2063 z 3 - 333 z 2 - 17 z + 5 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2205 π z 2 - 32 ( 224 z 4 - 2063 z 3 - 333 z 2 - 17 z + 5 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2205 π z 2 - 32 z + 1 ( 2744 z 3 - 1461 z 2 - 258 z - 5 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2205 π z 2 + 32 ( 448 z 4 - 1382 z 3 - 2127 z 2 - 292 z + 5 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2205 π z 2 HypergeometricPFQ -1 5 2 -1 3 2 5 2 -1 1 2 3 -1 z -1 32 z 1 1 2 224 z 4 -1 2063 z 3 -1 333 z 2 -1 17 z 5 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2205 z 2 -1 -1 32 224 z 4 -1 2063 z 3 -1 333 z 2 -1 17 z 5 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2205 z 2 -1 -1 32 z 1 1 2 2744 z 3 -1 1461 z 2 -1 258 z -5 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2205 z 2 -1 32 448 z 4 -1 1382 z 3 -1 2127 z 2 -1 292 z 5 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2205 z 2 -1 [/itex]

 Rule Form

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

 2007-05-02