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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1753.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), 2}, {2, 2}, -z] == (4 (-35 + 4052 z - 16434 z^2 + 11156 z^3 - 1091 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2835 Pi z) + (4 Sqrt[1 + z] (-35 + 4052 z - 16434 z^2 + 11156 z^3 - 1091 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2835 Pi z) + (64 (-175 + 788 z + 150 z^2 - 716 z^3 + 97 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2835 Pi z) + (8 Sqrt[1 + z] (1435 - 10356 z + 15234 z^2 - 5428 z^3 + 315 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2835 Pi z)

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , 2 ; 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[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "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[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] 4 z + 1 ( - 1091 z 4 + 11156 z 3 - 16434 z 2 + 4052 z - 35 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z + 4 ( - 1091 z 4 + 11156 z 3 - 16434 z 2 + 4052 z - 35 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z + 64 ( 97 z 4 - 716 z 3 + 150 z 2 + 788 z - 175 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z + 8 z + 1 ( 315 z 4 - 5428 z 3 + 15234 z 2 - 10356 z + 1435 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z HypergeometricPFQ -1 7 2 -1 7 2 2 2 2 -1 z 4 z 1 1 2 -1091 z 4 11156 z 3 -1 16434 z 2 4052 z -35 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z -1 4 -1091 z 4 11156 z 3 -1 16434 z 2 4052 z -35 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z -1 64 97 z 4 -1 716 z 3 150 z 2 788 z -175 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z -1 8 z 1 1 2 315 z 4 -1 5428 z 3 15234 z 2 -1 10356 z 1435 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z -1 [/itex]

 Rule Form

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

 2007-05-02