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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1291.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(1/2)}, {1, 1}, z] == -((8 (-40951 + 59856 z + 18705 z^2 + 1198 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2)) + (1/(3675 Pi^2)) (8 Sqrt[1 - z] (-24956 + 21662 z + 5843 z^2 + 280 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(3675 Pi^2)) (8 (-40951 + 59856 z + 18705 z^2 + 1198 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (4 Sqrt[1 - z] (-24956 + 21662 z + 5843 z^2 + 280 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2) - (4 (-28631 + 53110 z + 10831 z^2 + 669 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 , - 7 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["7", "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 ( 1198 z 3 + 18705 z 2 + 59856 z - 40951 ) E ( 1 2 - 1 - z 2 ) 2 3675 π 2 + 8 1 - z ( 280 z 3 + 5843 z 2 + 21662 z - 24956 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 + 8 ( 1198 z 3 + 18705 z 2 + 59856 z - 40951 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 3675 π 2 - 4 1 - z ( 280 z 3 + 5843 z 2 + 21662 z - 24956 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 - 4 ( 669 z 3 + 10831 z 2 + 53110 z - 28631 ) K ( 1 2 - 1 - z 2 ) 2 3675 π 2 HypergeometricPFQ -1 7 2 -1 7 2 -1 1 2 1 1 z -1 8 1198 z 3 18705 z 2 59856 z -40951 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 8 1 -1 z 1 2 280 z 3 5843 z 2 21662 z -24956 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 1198 z 3 18705 z 2 59856 z -40951 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 2 280 z 3 5843 z 2 21662 z -24956 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 3675 2 -1 -1 4 669 z 3 10831 z 2 53110 z -28631 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