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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b5cs.01

 Input Form

 Hypergeometric2F1[-(47/8), 21/8, 9/2, z] == (1/(27177092415 z^(7/2))) (128 ((1 + Sqrt[z])^(31/4) (-2144704 + 16621456 Sqrt[z] - 65681560 z + 181797175 z^(3/2) - 394089360 z^2 + 698101152 z^(5/2) - 990853248 z^3 + 1062969600 z^(7/2) - 806615040 z^4 + 402124800 z^(9/2) - 117325824 z^5 + 15138816 z^(11/2)) + (1 - Sqrt[z])^(31/4) (2144704 + 16621456 Sqrt[z] + 65681560 z + 181797175 z^(3/2) + 394089360 z^2 + 698101152 z^(5/2) + 990853248 z^3 + 1062969600 z^(7/2) + 806615040 z^4 + 402124800 z^(9/2) + 117325824 z^5 + 15138816 z^(11/2))))

 Standard Form

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 MathML Form

 2 F 1 ( - 47 8 , 21 8 ; 9 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["47", "8"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["21", "8"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["9", "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] 1 27177092415 z 7 / 2 ( 128 ( ( 15138816 z 11 / 2 + 117325824 z 5 + 402124800 z 9 / 2 + 806615040 z 4 + 1062969600 z 7 / 2 + 990853248 z 3 + 698101152 z 5 / 2 + 394089360 z 2 + 181797175 z 3 / 2 + 65681560 z + 16621456 z + 2144704 ) ( 1 - z ) 31 / 4 + ( z + 1 ) 31 / 4 ( 15138816 z 11 / 2 - 117325824 z 5 + 402124800 z 9 / 2 - 806615040 z 4 + 1062969600 z 7 / 2 - 990853248 z 3 + 698101152 z 5 / 2 - 394089360 z 2 + 181797175 z 3 / 2 - 65681560 z + 16621456 z - 2144704 ) ) ) HypergeometricPFQ -1 47 8 21 8 9 2 z 1 27177092415 z 7 2 -1 128 15138816 z 11 2 117325824 z 5 402124800 z 9 2 806615040 z 4 1062969600 z 7 2 990853248 z 3 698101152 z 5 2 394089360 z 2 181797175 z 3 2 65681560 z 16621456 z 1 2 2144704 1 -1 z 1 2 31 4 z 1 2 1 31 4 15138816 z 11 2 -1 117325824 z 5 402124800 z 9 2 -1 806615040 z 4 1062969600 z 7 2 -1 990853248 z 3 698101152 z 5 2 -1 394089360 z 2 181797175 z 3 2 -1 65681560 z 16621456 z 1 2 -2144704 [/itex]

 Rule Form

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

 2007-05-02