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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(9/5), 1, 1/5, z] == (1/25) (25 - 45 z - 36 (-1 + z) z^(4/5) Log[1 - z^(1/5)] - 36 (-1)^(4/5) (-1 + z) z^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - 36 (-1)^(3/5) z^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] + 36 (-1)^(3/5) z^(9/5) Log[1 - (-1)^(2/5) z^(1/5)] + 36 (-1)^(2/5) z^(4/5) Log[1 + (-1)^(3/5) z^(1/5)] - 36 (-1)^(2/5) z^(9/5) Log[1 + (-1)^(3/5) z^(1/5)] - 36 (-1)^(1/5) z^(4/5) Log[1 - (-1)^(4/5) z^(1/5)] + 36 (-1)^(1/5) z^(9/5) Log[1 - (-1)^(4/5) z^(1/5)])

 Standard Form

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 MathML Form

 2 F 1 ( - 9 5 , 1 ; 1 5 ; 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", "5"]]], 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[FractionBox["1", "5"], 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 25 ( 36 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 9 / 5 - 36 ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 9 / 5 + 36 - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 9 / 5 - 45 z - 36 ( z - 1 ) log ( 1 - z 5 ) z 4 / 5 - 36 ( - 1 ) 4 / 5 ( z - 1 ) log ( - 1 5 z 5 + 1 ) z 4 / 5 - 36 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 4 / 5 + 36 ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 4 / 5 - 36 - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 4 / 5 + 25 ) HypergeometricPFQ -1 9 5 1 1 5 z 1 25 36 -1 3 5 1 -1 -1 2 5 z 1 5 z 9 5 -1 36 -1 2 5 -1 3 5 z 1 5 1 z 9 5 36 -1 1 5 1 -1 -1 4 5 z 1 5 z 9 5 -1 45 z -1 36 z -1 1 -1 z 1 5 z 4 5 -1 36 -1 4 5 z -1 -1 1 5 z 1 5 1 z 4 5 -1 36 -1 3 5 1 -1 -1 2 5 z 1 5 z 4 5 36 -1 2 5 -1 3 5 z 1 5 1 z 4 5 -1 36 -1 1 5 1 -1 -1 4 5 z 1 5 z 4 5 25 [/itex]

 Rule Form

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

 2007-05-02