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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1872.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {1, 2}, z] == (1/(297675 Pi^2 z)) (16 (1225 + 1414268 z + 11553516 z^2 + 12133448 z^3 + 1612000 z^4) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(297675 Pi^2 z)) (16 (-1225 - 1414268 z - 11553516 z^2 - 12133448 z^3 - 1612000 z^4) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(297675 Pi^2 z)) (16 Sqrt[1 - z] (-1225 - 791583 z - 5128353 z^2 - 4243880 z^3 - 403200 z^4) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(297675 Pi^2 z)) (8 Sqrt[1 - z] (1225 + 791583 z + 5128353 z^2 + 4243880 z^3 + 403200 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (8 (1225 + 939808 z + 7148664 z^2 + 7149719 z^3 + 906800 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(297675 Pi^2 z)

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , 5 2 ; 1 , 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "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["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] 16 ( 1612000 z 4 + 12133448 z 3 + 11553516 z 2 + 1414268 z + 1225 ) E ( 1 2 - 1 - z 2 ) 2 297675 π 2 z + 1 297675 π 2 z 16 ( - 1612000 z 4 - 12133448 z 3 - 11553516 z 2 - 1414268 z - 1225 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) + 1 297675 π 2 z 16 1 - z ( - 403200 z 4 - 4243880 z 3 - 5128353 z 2 - 791583 z - 1225 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) + 8 1 - z ( 403200 z 4 + 4243880 z 3 + 5128353 z 2 + 791583 z + 1225 ) K ( 1 2 - 1 - z 2 ) 2 297675 π 2 z + 8 ( 906800 z 4 + 7149719 z 3 + 7148664 z 2 + 939808 z + 1225 ) K ( 1 2 - 1 - z 2 ) 2 297675 π 2 z HypergeometricPFQ -1 7 2 -1 7 2 5 2 1 2 z 16 1612000 z 4 12133448 z 3 11553516 z 2 1414268 z 1225 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 297675 2 z -1 1 297675 2 z -1 16 -1612000 z 4 -1 12133448 z 3 -1 11553516 z 2 -1 1414268 z -1225 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 1 297675 2 z -1 16 1 -1 z 1 2 -403200 z 4 -1 4243880 z 3 -1 5128353 z 2 -1 791583 z -1225 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 8 1 -1 z 1 2 403200 z 4 4243880 z 3 5128353 z 2 791583 z 1225 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 297675 2 z -1 8 906800 z 4 7149719 z 3 7148664 z 2 939808 z 1225 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 297675 2 z -1 [/itex]

 Rule Form

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

 2007-05-02