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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(5/2), 5/2, 7/2}, {-(3/2), 3}, -z] == (1/(2835 Pi z^2 (1 + z)^2)) (32 (-35 - 95 z + 329 z^2 - 1088 z^3 + 10496 z^4 + 28672 z^5 + 16384 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(2835 Pi z^2 (1 + z)^(3/2))) (32 (-35 - 95 z + 329 z^2 - 1088 z^3 + 10496 z^4 + 28672 z^5 + 16384 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (32 (35 + 445 z - 1264 z^2 + 7936 z^3 + 26624 z^4 + 16384 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (2835 Pi z^2 (1 + z)^(3/2)) - (32 (-35 + 290 z - 896 z^2 + 6656 z^3 + 40960 z^4 + 32768 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(2835 Pi z^2 (1 + z))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 5 2 , 7 2 ; - 3 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[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[RowBox[List["-", FractionBox["3", "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 ( 16384 z 6 + 28672 z 5 + 10496 z 4 - 1088 z 3 + 329 z 2 - 95 z - 35 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z 2 ( z + 1 ) 3 / 2 + 32 ( 16384 z 6 + 28672 z 5 + 10496 z 4 - 1088 z 3 + 329 z 2 - 95 z - 35 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z 2 ( z + 1 ) 2 + 32 ( 16384 z 5 + 26624 z 4 + 7936 z 3 - 1264 z 2 + 445 z + 35 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z 2 ( z + 1 ) 3 / 2 - 32 ( 32768 z 5 + 40960 z 4 + 6656 z 3 - 896 z 2 + 290 z - 35 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 2835 π z 2 ( z + 1 ) HypergeometricPFQ -1 5 2 5 2 7 2 -1 3 2 3 -1 z 32 16384 z 6 28672 z 5 10496 z 4 -1 1088 z 3 329 z 2 -1 95 z -35 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z 2 z 1 3 2 -1 32 16384 z 6 28672 z 5 10496 z 4 -1 1088 z 3 329 z 2 -1 95 z -35 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z 2 z 1 2 -1 32 16384 z 5 26624 z 4 7936 z 3 -1 1264 z 2 445 z 35 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z 2 z 1 3 2 -1 -1 32 32768 z 5 40960 z 4 6656 z 3 -1 896 z 2 290 z -35 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 2835 z 2 z 1 -1 [/itex]

 Rule Form

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

 2007-05-02