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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.9681.01

 Input Form

 HypergeometricPFQ[{-(7/2), 7/2, 7/2}, {5/2, 3}, -z] == (32 (-7 + 175 z + 8595 z^2 + 34624 z^3 + 44672 z^4 + 18432 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(51975 Pi z^2) + (1/(51975 Pi z^2)) (32 Sqrt[1 + z] (-7 + 175 z + 8595 z^2 + 34624 z^3 + 44672 z^4 + 18432 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (32 Sqrt[1 + z] (7 + 6321 z + 30192 z^2 + 42368 z^3 + 18432 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(51975 Pi z^2) - (1/(51975 Pi z^2)) (32 (-7 + 6671 z + 47382 z^2 + 111616 z^3 + 107776 z^4 + 36864 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , 7 2 , 7 2 ; 5 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "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["5", "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 ( 18432 z 5 + 44672 z 4 + 34624 z 3 + 8595 z 2 + 175 z - 7 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 51975 π z 2 + 32 ( 18432 z 5 + 44672 z 4 + 34624 z 3 + 8595 z 2 + 175 z - 7 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 51975 π z 2 + 32 z + 1 ( 18432 z 4 + 42368 z 3 + 30192 z 2 + 6321 z + 7 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 51975 π z 2 - 32 ( 36864 z 5 + 107776 z 4 + 111616 z 3 + 47382 z 2 + 6671 z - 7 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 51975 π z 2 HypergeometricPFQ -1 7 2 7 2 7 2 5 2 3 -1 z 32 z 1 1 2 18432 z 5 44672 z 4 34624 z 3 8595 z 2 175 z -7 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 51975 z 2 -1 32 18432 z 5 44672 z 4 34624 z 3 8595 z 2 175 z -7 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 51975 z 2 -1 32 z 1 1 2 18432 z 4 42368 z 3 30192 z 2 6321 z 7 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 51975 z 2 -1 -1 32 36864 z 5 107776 z 4 111616 z 3 47382 z 2 6671 z -7 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 51975 z 2 -1 [/itex]

 Rule Form

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

 2007-05-02