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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8og.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), -(3/2)}, {2, 2}, z] == (32 (-498 + 32374 z - 17338 z^2 + 15 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (18375 Pi^2 z) + (32 Sqrt[1 - z] (393 - 17602 z + 7170 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (18375 Pi^2 z) - (32 (-498 + 32374 z - 17338 z^2 + 15 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (18375 Pi^2 z) - (16 Sqrt[1 - z] (393 - 17602 z + 7170 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(18375 Pi^2 z) + (16 (-393 + 22366 z - 19304 z^2 + 1845 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^ 2)/(18375 Pi^2 z)

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , - 3 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[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["3", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["3", "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 ( 15 z 3 - 17338 z 2 + 32374 z - 498 ) E ( 1 2 - 1 - z 2 ) 2 18375 π 2 z + 32 1 - z ( 7170 z 2 - 17602 z + 393 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 18375 π 2 z - 32 ( 15 z 3 - 17338 z 2 + 32374 z - 498 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 18375 π 2 z - 16 1 - z ( 7170 z 2 - 17602 z + 393 ) K ( 1 2 - 1 - z 2 ) 2 18375 π 2 z + 16 ( 1845 z 3 - 19304 z 2 + 22366 z - 393 ) K ( 1 2 - 1 - z 2 ) 2 18375 π 2 z HypergeometricPFQ -1 5 2 -1 3 2 -1 3 2 2 2 z 32 15 z 3 -1 17338 z 2 32374 z -498 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 18375 2 z -1 32 1 -1 z 1 2 7170 z 2 -1 17602 z 393 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 18375 2 z -1 -1 32 15 z 3 -1 17338 z 2 32374 z -498 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 18375 2 z -1 -1 16 1 -1 z 1 2 7170 z 2 -1 17602 z 393 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 18375 2 z -1 16 1845 z 3 -1 19304 z 2 22366 z -393 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 18375 2 z -1 [/itex]

 Rule Form

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

 2007-05-02