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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[1/8, 2, 17/8, z] == (1/(512 z^(9/8))) (9 (-1)^(1/4) (8 (-1)^(3/4) z^(1/8) + (-1)^(3/4) (1 + 7 z) Log[1 - z^(1/8)] + (-1)^(1/4) (1 + 7 z) Log[1 - I z^(1/8)] - (-1)^(1/4) Log[1 + I z^(1/8)] - 7 (-1)^(1/4) z Log[1 + I z^(1/8)] - (-1)^(3/4) Log[1 + z^(1/8)] - 7 (-1)^(3/4) z Log[1 + z^(1/8)] + I Log[1 - (-1)^(1/4) z^(1/8)] + 7 I z Log[1 - (-1)^(1/4) z^(1/8)] - I Log[1 + (-1)^(1/4) z^(1/8)] - 7 I z Log[1 + (-1)^(1/4) z^(1/8)] + Log[1 - (-1)^(3/4) z^(1/8)] + 7 z Log[1 - (-1)^(3/4) z^(1/8)] - Log[1 + (-1)^(3/4) z^(1/8)] - 7 z Log[1 + (-1)^(3/4) z^(1/8)]))

 Standard Form

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 MathML Form

 2 F 1 ( 1 8 , 2 ; 17 8 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "8"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["2", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["17", "8"], 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] 1 512 z 9 / 8 ( 9 - 1 4 ( ( - 1 ) 3 / 4 ( 7 z + 1 ) log ( 1 - z 8 ) + - 1 4 ( 7 z + 1 ) log ( 1 - z 8 ) - 7 - 1 4 z log ( z 8 + 1 ) - - 1 4 log ( z 8 + 1 ) - 7 ( - 1 ) 3 / 4 z log ( z 8 + 1 ) - ( - 1 ) 3 / 4 log ( z 8 + 1 ) + 7 z log ( 1 - - 1 4 z 8 ) + log ( 1 - - 1 4 z 8 ) - 7 z log ( - 1 4 z 8 + 1 ) - log ( - 1 4 z 8 + 1 ) + 7 z log ( 1 - ( - 1 ) 3 / 4 z 8 ) + log ( 1 - ( - 1 ) 3 / 4 z 8 ) - 7 z log ( ( - 1 ) 3 / 4 z 8 + 1 ) - log ( ( - 1 ) 3 / 4 z 8 + 1 ) + 8 ( - 1 ) 3 / 4 z 8 ) ) HypergeometricPFQ 1 8 2 17 8 z 1 512 z 9 8 -1 9 -1 1 4 -1 3 4 7 z 1 1 -1 z 1 8 -1 1 4 7 z 1 1 -1 z 1 8 -1 7 -1 1 4 z z 1 8 1 -1 -1 1 4 z 1 8 1 -1 7 -1 3 4 z z 1 8 1 -1 -1 3 4 z 1 8 1 7 z 1 -1 -1 1 4 z 1 8 1 -1 -1 1 4 z 1 8 -1 7 z -1 1 4 z 1 8 1 -1 -1 1 4 z 1 8 1 7 z 1 -1 -1 3 4 z 1 8 1 -1 -1 3 4 z 1 8 -1 7 z -1 3 4 z 1 8 1 -1 -1 3 4 z 1 8 1 8 -1 3 4 z 1 8 [/itex]

 Rule Form

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

 2007-05-02