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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.a8t6.01

 Input Form

 Hypergeometric2F1[-(21/4), 17/4, -(9/2), z] == (1/192) ((1/(1 - Sqrt[z])^(7/2)) (96 - 336 Sqrt[z] + 896 z - 1876 z^(3/2) + 3626 z^2 - 6349 z^(5/2) + 10878 z^3 - 17688 z^(7/2) + 29568 z^4 - 48048 z^(9/2) + 96096 z^5 - 261184 z^(11/2) + 433664 z^6 - 335104 z^(13/2) + 95744 z^7) + (1/(1 + Sqrt[z])^(7/2)) (96 + 336 Sqrt[z] + 896 z + 1876 z^(3/2) + 3626 z^2 + 6349 z^(5/2) + 10878 z^3 + 17688 z^(7/2) + 29568 z^4 + 48048 z^(9/2) + 96096 z^5 + 261184 z^(11/2) + 433664 z^6 + 335104 z^(13/2) + 95744 z^7))

 Standard Form

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 MathML Form

 2 F 1 ( - 21 4 , 17 4 ; - 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["21", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["17", "4"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[RowBox[List["-", 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] 1 192 ( 1 ( 1 - z ) 7 / 2 ( 95744 z 7 - 335104 z 13 / 2 + 433664 z 6 - 261184 z 11 / 2 + 96096 z 5 - 48048 z 9 / 2 + 29568 z 4 - 17688 z 7 / 2 + 10878 z 3 - 6349 z 5 / 2 + 3626 z 2 - 1876 z 3 / 2 + 896 z - 336 z + 96 ) + 1 ( z + 1 ) 7 / 2 ( 95744 z 7 + 335104 z 13 / 2 + 433664 z 6 + 261184 z 11 / 2 + 96096 z 5 + 48048 z 9 / 2 + 29568 z 4 + 17688 z 7 / 2 + 10878 z 3 + 6349 z 5 / 2 + 3626 z 2 + 1876 z 3 / 2 + 896 z + 336 z + 96 ) ) HypergeometricPFQ -1 21 4 17 4 -1 9 2 z 1 192 1 1 -1 z 1 2 7 2 -1 95744 z 7 -1 335104 z 13 2 433664 z 6 -1 261184 z 11 2 96096 z 5 -1 48048 z 9 2 29568 z 4 -1 17688 z 7 2 10878 z 3 -1 6349 z 5 2 3626 z 2 -1 1876 z 3 2 896 z -1 336 z 1 2 96 1 z 1 2 1 7 2 -1 95744 z 7 335104 z 13 2 433664 z 6 261184 z 11 2 96096 z 5 48048 z 9 2 29568 z 4 17688 z 7 2 10878 z 3 6349 z 5 2 3626 z 2 1876 z 3 2 896 z 336 z 1 2 96 [/itex]

 Rule Form

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

 2007-05-02