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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.9769.01

 Input Form

 HypergeometricPFQ[{-(7/2), 7/2, 4}, {1, 2}, -z] == ((3046 + 53969 z + 221536 z^2 + 316800 z^3 + 146432 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(420 Pi (1 + z)) + ((3046 + 53969 z + 221536 z^2 + 316800 z^3 + 146432 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (420 Pi Sqrt[1 + z]) + ((-840 - 22313 z - 127200 z^2 - 243584 z^3 - 146432 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (210 Pi z) + ((840 + 20107 z + 95544 z^2 + 149248 z^3 + 73216 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (210 Pi z Sqrt[1 + z])

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , 7 2 , 4 ; 1 , 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[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["1", 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] ( 146432 z 4 + 316800 z 3 + 221536 z 2 + 53969 z + 3046 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 420 π z + 1 + ( 146432 z 4 + 316800 z 3 + 221536 z 2 + 53969 z + 3046 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 420 π ( z + 1 ) + ( - 146432 z 4 - 243584 z 3 - 127200 z 2 - 22313 z - 840 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 210 π z + ( 73216 z 4 + 149248 z 3 + 95544 z 2 + 20107 z + 840 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 210 π z z + 1 HypergeometricPFQ -1 7 2 7 2 4 1 2 -1 z 146432 z 4 316800 z 3 221536 z 2 53969 z 3046 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 420 z 1 1 2 -1 146432 z 4 316800 z 3 221536 z 2 53969 z 3046 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 420 z 1 -1 -146432 z 4 -1 243584 z 3 -1 127200 z 2 -1 22313 z -840 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 210 z -1 73216 z 4 149248 z 3 95544 z 2 20107 z 840 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 210 z z 1 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02