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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{5/2, 7/2, 7/2}, {2, 2}, z] == -((32 (11 + 189 z + 114 z^2 + z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (225 Pi^2 (-1 + z)^5 z)) + (32 (11 + 189 z + 114 z^2 + z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (225 Pi^2 (-1 + z)^5 z) + (32 Sqrt[1 - z] (-8 - 6 z + 246 z^2 + 83 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (225 Pi^2 (-1 + z)^6 z) + (16 (8 + 75 z + 22 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2 (-1 + z)^4 z) - (16 Sqrt[1 - z] (-8 - 6 z + 246 z^2 + 83 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2 (-1 + z)^6 z)

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 7 2 , 7 2 ; 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["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["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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 32 ( z 3 + 114 z 2 + 189 z + 11 ) E ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) 5 z + 32 ( z 3 + 114 z 2 + 189 z + 11 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 225 π 2 ( z - 1 ) 5 z + 32 1 - z ( 83 z 3 + 246 z 2 - 6 z - 8 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 225 π 2 ( z - 1 ) 6 z + 16 ( 22 z 2 + 75 z + 8 ) K ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) 4 z - 16 1 - z ( 83 z 3 + 246 z 2 - 6 z - 8 ) K ( 1 2 - 1 - z 2 ) 2 225 π 2 ( z - 1 ) 6 z HypergeometricPFQ 5 2 7 2 7 2 2 2 z -1 32 z 3 114 z 2 189 z 11 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 5 z -1 32 z 3 114 z 2 189 z 11 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 225 2 z -1 5 z -1 32 1 -1 z 1 2 83 z 3 246 z 2 -1 6 z -8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 225 2 z -1 6 z -1 16 22 z 2 75 z 8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 4 z -1 -1 16 1 -1 z 1 2 83 z 3 246 z 2 -1 6 z -8 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 225 2 z -1 6 z -1 [/itex]

 Rule Form

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

 2007-05-02