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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.av7d.01

 Input Form

 HypergeometricPFQ[{7/2, 7/2, 7/2}, {1, 2}, z] == -((16 (3 + 1255 z + 7319 z^2 + 5840 z^3 + 598 z^4) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(375 Pi^2 (-1 + z)^7 z)) + (1/(375 Pi^2 (-1 + z)^7 z)) (16 (3 + 1255 z + 7319 z^2 + 5840 z^3 + 598 z^4) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(375 Pi^2 (-1 + z)^8 z)) (16 Sqrt[1 - z] (-3 - 484 z + 1000 z^2 + 9034 z^3 + 5138 z^4 + 330 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (8 (3 + 676 z + 2795 z^2 + 1456 z^3 + 75 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(375 Pi^2 (-1 + z)^6 z) - (8 Sqrt[1 - z] (-3 - 484 z + 1000 z^2 + 9034 z^3 + 5138 z^4 + 330 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(375 Pi^2 (-1 + z)^8 z)

 Standard Form

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 MathML Form

 3 F 2 ( 7 2 , 7 2 , 7 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[FractionBox["7", "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["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 ( 598 z 4 + 5840 z 3 + 7319 z 2 + 1255 z + 3 ) E ( 1 2 - 1 - z 2 ) 2 375 π 2 ( z - 1 ) 7 z + 16 ( 598 z 4 + 5840 z 3 + 7319 z 2 + 1255 z + 3 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 375 π 2 ( z - 1 ) 7 z + 16 1 - z ( 330 z 5 + 5138 z 4 + 9034 z 3 + 1000 z 2 - 484 z - 3 ) K ( 1 2 - 1 - z 2 ) E ( 1 2 - 1 - z 2 ) 375 π 2 ( z - 1 ) 8 z + 8 ( 75 z 4 + 1456 z 3 + 2795 z 2 + 676 z + 3 ) K ( 1 2 - 1 - z 2 ) 2 375 π 2 ( z - 1 ) 6 z - 8 1 - z ( 330 z 5 + 5138 z 4 + 9034 z 3 + 1000 z 2 - 484 z - 3 ) K ( 1 2 - 1 - z 2 ) 2 375 π 2 ( z - 1 ) 8 z HypergeometricPFQ 7 2 7 2 7 2 1 2 z -1 16 598 z 4 5840 z 3 7319 z 2 1255 z 3 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 2 375 2 z -1 7 z -1 16 598 z 4 5840 z 3 7319 z 2 1255 z 3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 375 2 z -1 7 z -1 16 1 -1 z 1 2 330 z 5 5138 z 4 9034 z 3 1000 z 2 -1 484 z -3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 EllipticE 1 2 -1 1 -1 z 1 2 2 -1 375 2 z -1 8 z -1 8 75 z 4 1456 z 3 2795 z 2 676 z 3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 375 2 z -1 6 z -1 -1 8 1 -1 z 1 2 330 z 5 5138 z 4 9034 z 3 1000 z 2 -1 484 z -3 EllipticK 1 2 -1 1 -1 z 1 2 2 -1 2 375 2 z -1 8 z -1 [/itex]

 Rule Form

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

 2007-05-02