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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1028.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {1, 1}, z] == -((8 (-52922 + 1085103 z - 1085103 z^2 + 52922 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2)) + (1/(3675 Pi^2)) (8 Sqrt[1 - z] (-34442 + 591970 z - 493133 z^2 + 18480 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(3675 Pi^2)) (8 (-52922 + 1085103 z - 1085103 z^2 + 52922 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (4 Sqrt[1 - z] (-34442 + 591970 z - 493133 z^2 + 18480 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2) + (4 (38117 - 762596 z + 992785 z^2 - 189106 z^3 + 3675 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2)

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 7 2 ; 1 , 1 ; 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[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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["1", 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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 8 ( 52922 z 3 - 1085103 z 2 + 1085103 z - 52922 ) E ( 1 2 - 1 - z 2 ) 2 3675 π 2 + 8 1 - z ( 18480 z 3 - 493133 z 2 + 591970 z - 34442 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 + 8 ( 52922 z 3 - 1085103 z 2 + 1085103 z - 52922 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 - 4 1 - z ( 18480 z 3 - 493133 z 2 + 591970 z - 34442 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 + 4 ( 3675 z 4 - 189106 z 3 + 992785 z 2 - 762596 z + 38117 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 HypergeometricPFQ -1 7 2 -1 7 2 -1 7 2 1 1 z -1 8 52922 z 3 -1 1085103 z 2 1085103 z -52922 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 8 1 -1 z 1 2 18480 z 3 -1 493133 z 2 591970 z -34442 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 3675 2 -1 8 52922 z 3 -1 1085103 z 2 1085103 z -52922 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 3675 2 -1 -1 4 1 -1 z 1 2 18480 z 3 -1 493133 z 2 591970 z -34442 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 4 3675 z 4 -1 189106 z 3 992785 z 2 -1 762596 z 38117 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 [/itex]

 Rule Form

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

 2007-05-02