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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2530.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(5/2), -(1/2)}, {1, 1}, z] == -((8 (-38666 + 37298 z + 6179 z^2 + 40 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^ 2)/(3675 Pi^2)) + (8 Sqrt[1 - z] (-23196 + 12704 z + 1705 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (3675 Pi^2) + (8 (-38666 + 37298 z + 6179 z^2 + 40 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (3675 Pi^2) - (4 Sqrt[1 - z] (-23196 + 12704 z + 1705 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2) - (4 (-26871 + 36972 z + 3517 z^2 + 20 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (3675 Pi^2)

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 5 2 , - 1 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "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 ( 40 z 3 + 6179 z 2 + 37298 z - 38666 ) E ( 1 2 - 1 - z 2 ) 2 3675 π 2 + 8 1 - z ( 1705 z 2 + 12704 z - 23196 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 + 8 ( 40 z 3 + 6179 z 2 + 37298 z - 38666 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 - 4 1 - z ( 1705 z 2 + 12704 z - 23196 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 - 4 ( 20 z 3 + 3517 z 2 + 36972 z - 26871 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 HypergeometricPFQ -1 7 2 -1 5 2 -1 1 2 1 1 z -1 8 40 z 3 6179 z 2 37298 z -38666 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 8 1 -1 z 1 2 1705 z 2 12704 z -23196 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 40 z 3 6179 z 2 37298 z -38666 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 1705 z 2 12704 z -23196 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 -1 4 20 z 3 3517 z 2 36972 z -26871 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