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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b5gn.01

 Input Form

 Hypergeometric2F1[-(47/8), 29/8, -(7/2), z] == (1/17920) ((1/(1 - Sqrt[z])^(5/4)) (8960 - 11200 Sqrt[z] + 55920 z - 67800 z^(3/2) + 254523 z^2 - 305100 z^(5/2) + 1230240 z^3 - 1478400 z^(7/2) + 11531520 z^4 + 1041408 z^(9/2) - 82022400 z^5 + 53084160 z^(11/2) + 83558400 z^6 - 66846720 z^(13/2)) + (1/(1 + Sqrt[z])^(5/4)) (8960 + 11200 Sqrt[z] + 55920 z + 67800 z^(3/2) + 254523 z^2 + 305100 z^(5/2) + 1230240 z^3 + 1478400 z^(7/2) + 11531520 z^4 - 1041408 z^(9/2) - 82022400 z^5 - 53084160 z^(11/2) + 83558400 z^6 + 66846720 z^(13/2)))

 Standard Form

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 MathML Form

 2 F 1 ( - 47 8 , 29 8 ; - 7 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["29", "8"], 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["7", "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 17920 ( 1 ( 1 - z ) 5 / 4 ( - 66846720 z 13 / 2 + 83558400 z 6 + 53084160 z 11 / 2 - 82022400 z 5 + 1041408 z 9 / 2 + 11531520 z 4 - 1478400 z 7 / 2 + 1230240 z 3 - 305100 z 5 / 2 + 254523 z 2 - 67800 z 3 / 2 + 55920 z - 11200 z + 8960 ) + 1 ( z + 1 ) 5 / 4 ( 66846720 z 13 / 2 + 83558400 z 6 - 53084160 z 11 / 2 - 82022400 z 5 - 1041408 z 9 / 2 + 11531520 z 4 + 1478400 z 7 / 2 + 1230240 z 3 + 305100 z 5 / 2 + 254523 z 2 + 67800 z 3 / 2 + 55920 z + 11200 z + 8960 ) ) HypergeometricPFQ -1 47 8 29 8 -1 7 2 z 1 17920 1 1 -1 z 1 2 5 4 -1 -66846720 z 13 2 83558400 z 6 53084160 z 11 2 -1 82022400 z 5 1041408 z 9 2 11531520 z 4 -1 1478400 z 7 2 1230240 z 3 -1 305100 z 5 2 254523 z 2 -1 67800 z 3 2 55920 z -1 11200 z 1 2 8960 1 z 1 2 1 5 4 -1 66846720 z 13 2 83558400 z 6 -1 53084160 z 11 2 -1 82022400 z 5 -1 1041408 z 9 2 11531520 z 4 1478400 z 7 2 1230240 z 3 305100 z 5 2 254523 z 2 67800 z 3 2 55920 z 11200 z 1 2 8960 [/itex]

 Rule Form

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

 2007-05-02