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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{5/2, 7/2, 7/2}, {1/2, 1}, -z] == (4 (33 - 1068 z + 3606 z^2 - 2252 z^3 + 209 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(15 Pi (1 + z)^8) + (4 (33 - 1068 z + 3606 z^2 - 2252 z^3 + 209 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi (1 + z)^(15/2)) + (4 (-15 + 777 z - 3435 z^2 + 2643 z^3 - 298 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi z (1 + z)^7) + (4 (15 - 828 z + 4794 z^2 - 6420 z^3 + 2159 z^4 - 120 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi z (1 + z)^(15/2))

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 7 2 , 7 2 ; 1 2 , 1 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["5", "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["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", 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 ( 209 z 4 - 2252 z 3 + 3606 z 2 - 1068 z + 33 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π ( z + 1 ) 15 / 2 + 4 ( 209 z 4 - 2252 z 3 + 3606 z 2 - 1068 z + 33 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π ( z + 1 ) 8 + 4 ( - 298 z 4 + 2643 z 3 - 3435 z 2 + 777 z - 15 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π z ( z + 1 ) 7 + 4 ( - 120 z 5 + 2159 z 4 - 6420 z 3 + 4794 z 2 - 828 z + 15 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 15 π z ( z + 1 ) 15 / 2 HypergeometricPFQ 5 2 7 2 7 2 1 2 1 -1 z 4 209 z 4 -1 2252 z 3 3606 z 2 -1 1068 z 33 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z 1 15 2 -1 4 209 z 4 -1 2252 z 3 3606 z 2 -1 1068 z 33 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z 1 8 -1 4 -298 z 4 2643 z 3 -1 3435 z 2 777 z -15 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z z 1 7 -1 4 -120 z 5 2159 z 4 -1 6420 z 3 4794 z 2 -1 828 z 15 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 15 z z 1 15 2 -1 [/itex]

 Rule Form

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

 2007-05-02