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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.av9w.01

 Input Form

 HypergeometricPFQ[{7/2, 7/2, 4}, {1, 2}, -z] == ((209 - 2252 z + 3606 z^2 - 1068 z^3 + 33 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(30 Pi (1 + z)^8) + ((209 - 2252 z + 3606 z^2 - 1068 z^3 + 33 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi (1 + z)^(15/2)) + ((-120 + 1861 z - 3777 z^2 + 1359 z^3 - 51 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^7) + ((120 - 2159 z + 6420 z^2 - 4794 z^3 + 828 z^4 - 15 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^(15/2))

 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[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] ( 33 z 4 - 1068 z 3 + 3606 z 2 - 2252 z + 209 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π ( z + 1 ) 15 / 2 + ( 33 z 4 - 1068 z 3 + 3606 z 2 - 2252 z + 209 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π ( z + 1 ) 8 + ( - 51 z 4 + 1359 z 3 - 3777 z 2 + 1861 z - 120 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π z ( z + 1 ) 7 + ( - 15 z 5 + 828 z 4 - 4794 z 3 + 6420 z 2 - 2159 z + 120 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 30 π z ( z + 1 ) 15 / 2 HypergeometricPFQ 7 2 7 2 4 1 2 -1 z 33 z 4 -1 1068 z 3 3606 z 2 -1 2252 z 209 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z 1 15 2 -1 33 z 4 -1 1068 z 3 3606 z 2 -1 2252 z 209 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z 1 8 -1 -51 z 4 1359 z 3 -1 3777 z 2 1861 z -120 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z z 1 7 -1 -15 z 5 828 z 4 -1 4794 z 3 6420 z 2 -1 2159 z 120 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 30 z z 1 15 2 -1 [/itex]

 Rule Form

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

 2007-05-02