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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.av6r.01

 Input Form

 HypergeometricPFQ[{7/2, 7/2, 7/2}, {-(1/2), 2}, -z] == (1/(375 Pi z (1 + z)^9)) (4 (9 + 660 z + 35814 z^2 - 369564 z^3 + 561289 z^4 - 173360 z^5 + 7504 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(375 Pi z (1 + z)^(17/2))) (4 (9 + 660 z + 35814 z^2 - 369564 z^3 + 561289 z^4 - 173360 z^5 + 7504 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (64 (24 + 1239 z - 19329 z^2 + 36819 z^3 - 13619 z^4 + 698 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (375 Pi z (1 + z)^8) - (1/(375 Pi z (1 + z)^(17/2))) (8 (-183 - 9444 z + 180534 z^2 - 509484 z^3 + 375689 z^4 - 69992 z^5 + 1920 z^6) 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 ; - 1 2 , 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[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["1", "2"]]], 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] 4 ( 7504 z 6 - 173360 z 5 + 561289 z 4 - 369564 z 3 + 35814 z 2 + 660 z + 9 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 375 π z ( z + 1 ) 17 / 2 + 4 ( 7504 z 6 - 173360 z 5 + 561289 z 4 - 369564 z 3 + 35814 z 2 + 660 z + 9 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 375 π z ( z + 1 ) 9 - 64 ( 698 z 5 - 13619 z 4 + 36819 z 3 - 19329 z 2 + 1239 z + 24 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 375 π z ( z + 1 ) 8 - 8 ( 1920 z 6 - 69992 z 5 + 375689 z 4 - 509484 z 3 + 180534 z 2 - 9444 z - 183 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 375 π z ( z + 1 ) 17 / 2 HypergeometricPFQ 7 2 7 2 7 2 -1 1 2 2 -1 z 4 7504 z 6 -1 173360 z 5 561289 z 4 -1 369564 z 3 35814 z 2 660 z 9 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 375 z z 1 17 2 -1 4 7504 z 6 -1 173360 z 5 561289 z 4 -1 369564 z 3 35814 z 2 660 z 9 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 375 z z 1 9 -1 -1 64 698 z 5 -1 13619 z 4 36819 z 3 -1 19329 z 2 1239 z 24 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 375 z z 1 8 -1 -1 8 1920 z 6 -1 69992 z 5 375689 z 4 -1 509484 z 3 180534 z 2 -1 9444 z -183 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 375 z z 1 17 2 -1 [/itex]

 Rule Form

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

 2007-05-02