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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.ap36.01

 Input Form

 HypergeometricPFQ[{1/2, 7/2, 4}, {2, 2}, -z] == ((8 + 117 z + 202 z^2 + 149 z^3 + 40 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^4) + ((8 + 117 z + 202 z^2 + 149 z^3 + 40 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^(7/2)) + ((-64 - 145 z - 129 z^2 - 40 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi z (1 + z)^3) + (4 (14 + 23 z + 18 z^2 + 5 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi z (1 + z)^(7/2))

 Standard Form

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 MathML Form

 3 F 2 ( 1 2 , 7 2 , 4 ; 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["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "2"], 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[TagBox[RowBox[List[TagBox["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] ( 40 z 4 + 149 z 3 + 202 z 2 + 117 z + 8 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π z ( z + 1 ) 7 / 2 + ( 40 z 4 + 149 z 3 + 202 z 2 + 117 z + 8 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π z ( z + 1 ) 4 + ( - 40 z 3 - 129 z 2 - 145 z - 64 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π z ( z + 1 ) 3 + 4 ( 5 z 3 + 18 z 2 + 23 z + 14 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π z ( z + 1 ) 7 / 2 HypergeometricPFQ 1 2 7 2 4 2 2 -1 z 40 z 4 149 z 3 202 z 2 117 z 8 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z z 1 7 2 -1 40 z 4 149 z 3 202 z 2 117 z 8 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z z 1 4 -1 -40 z 3 -1 129 z 2 -1 145 z -64 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z z 1 3 -1 4 5 z 3 18 z 2 23 z 14 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z z 1 7 2 -1 [/itex]

 Rule Form

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

 2007-05-02