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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(9/8), 1, -(1/8), -z] == (1/8) (-1)^(1/8) (-8 (-1)^(7/8) + 72 (-1)^(7/8) z - 9 z^(9/8) Log[1 - (-1)^(1/8) z^(1/8)] + 9 z^(9/8) Log[1 + (-1)^(1/8) z^(1/8)] - 9 (-1)^(1/4) z^(9/8) Log[1 - (-1)^(3/8) z^(1/8)] + 9 (-1)^(1/4) z^(9/8) Log[1 + (-1)^(3/8) z^(1/8)] - 9 I z^(9/8) Log[1 - (-1)^(5/8) z^(1/8)] + 9 I z^(9/8) Log[1 + (-1)^(5/8) z^(1/8)] - 9 (-1)^(3/4) z^(9/8) Log[1 - (-1)^(7/8) z^(1/8)] + 9 (-1)^(3/4) z^(9/8) Log[1 + (-1)^(7/8) z^(1/8)])

 Standard Form

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 MathML Form

 2 F 1 ( - 9 8 , 1 ; - 1 8 ; - 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["9", "8"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", 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["1", "8"]]], 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 8 - 1 8 ( - 9 log ( 1 - - 1 8 z 8 ) z 9 / 8 + 9 log ( - 1 8 z 8 + 1 ) z 9 / 8 - 9 - 1 4 log ( 1 - ( - 1 ) 3 / 8 z 8 ) z 9 / 8 + 9 - 1 4 log ( ( - 1 ) 3 / 8 z 8 + 1 ) z 9 / 8 - 9 log ( 1 - ( - 1 ) 5 / 8 z 8 ) z 9 / 8 + 9 log ( ( - 1 ) 5 / 8 z 8 + 1 ) z 9 / 8 - 9 ( - 1 ) 3 / 4 log ( 1 - ( - 1 ) 7 / 8 z 8 ) z 9 / 8 + 9 ( - 1 ) 3 / 4 log ( ( - 1 ) 7 / 8 z 8 + 1 ) z 9 / 8 + 72 ( - 1 ) 7 / 8 z - 8 ( - 1 ) 7 / 8 ) HypergeometricPFQ -1 9 8 1 -1 1 8 -1 z 1 8 -1 1 8 -9 1 -1 -1 1 8 z 1 8 z 9 8 9 -1 1 8 z 1 8 1 z 9 8 -1 9 -1 1 4 1 -1 -1 3 8 z 1 8 z 9 8 9 -1 1 4 -1 3 8 z 1 8 1 z 9 8 -1 9 1 -1 -1 5 8 z 1 8 z 9 8 9 -1 5 8 z 1 8 1 z 9 8 -1 9 -1 3 4 1 -1 -1 7 8 z 1 8 z 9 8 9 -1 3 4 -1 7 8 z 1 8 1 z 9 8 72 -1 7 8 z -1 8 -1 7 8 [/itex]

 Rule Form

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

 2007-05-02