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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.alzw.01

 Input Form

 Hypergeometric2F1[11/4, 23/4, 6, -z] == (16384 Sqrt[2] (((2048 + 3104 z + 483 z^2 - 259 z^3 + 224 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^2 + ((2048 + 3104 z + 483 z^2 - 259 z^3 + 224 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(3/2) - ((2048 + 4640 z + 2667 z^2 - 49 z^3 + 56 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(5/2) - ((2048 + 3104 z + 483 z^2 - 259 z^3 + 224 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^2))/ (1382535 Pi z^5 Sqrt[1 + Sqrt[1 + z]])

 Standard Form

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 MathML Form

 2 F 1 ( 11 4 , 23 4 ; 6 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["11", "4"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["23", "4"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox["6", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "z"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 1 1382535 π z 5 z + 1 + 1 ( 16384 2 ( ( 224 z 4 - 259 z 3 + 483 z 2 + 3104 z + 2048 ) E ( z + 1 - 1 z + 1 + 1 ) ( z + 1 ) 3 / 2 + ( 224 z 4 - 259 z 3 + 483 z 2 + 3104 z + 2048 ) E ( z + 1 - 1 z + 1 + 1 ) ( z + 1 ) 2 - ( 56 z 4 - 49 z 3 + 2667 z 2 + 4640 z + 2048 ) K ( z + 1 - 1 z + 1 + 1 ) ( z + 1 ) 5 / 2 - ( 224 z 4 - 259 z 3 + 483 z 2 + 3104 z + 2048 ) K ( z + 1 - 1 z + 1 + 1 ) ( z + 1 ) 2 ) ) HypergeometricPFQ 11 4 23 4 6 -1 z 1 1382535 z 5 z 1 1 2 1 1 2 -1 16384 2 1 2 224 z 4 -1 259 z 3 483 z 2 3104 z 2048 EllipticE z 1 1 2 -1 z 1 1 2 1 -1 z 1 3 2 -1 224 z 4 -1 259 z 3 483 z 2 3104 z 2048 EllipticE z 1 1 2 -1 z 1 1 2 1 -1 z 1 2 -1 -1 56 z 4 -1 49 z 3 2667 z 2 4640 z 2048 EllipticK z 1 1 2 -1 z 1 1 2 1 -1 z 1 5 2 -1 -1 224 z 4 -1 259 z 3 483 z 2 3104 z 2048 EllipticK z 1 1 2 -1 z 1 1 2 1 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02