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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(11/5), 6, 9/5, z] == (1/9765625) (11 ((625 (-89 + 84 z))/(-1 + z)^2 - (1/z^(4/5)) (3696 (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)])) - 288288 (-5 - z^(1/5) (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)])) + 1489488 (-(5/6) - 5 z - z^(6/5) (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)])) - 1624896 ((-(5/66)) (6 + 11 z + 66 z^2) - z^(11/5) (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)]))))

 Standard Form

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RowBox[List["1", "/", "5"]]]]]]], "]"]]]], "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["4", "/", "5"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["4", "/", "5"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "5"]]]]]]], "]"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], ")"]]]]]]]]

 MathML Form

 2 F 1 ( - 11 5 , 6 ; 9 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["11", "5"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["6", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["9", "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 9765625 ( 11 ( 625 ( 84 z - 89 ) ( z - 1 ) 2 - 1 z 4 / 5 ( 3696 ( log ( 1 - z 5 ) - - 1 5 log ( - 1 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) ) - 288288 ( - z 5 ( log ( 1 - z 5 ) - - 1 5 log ( - 1 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) - 5 ) + 1489488 ( - ( log ( 1 - z 5 ) - - 1 5 log ( - 1 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) z 6 / 5 - 5 z - 5 6 ) - 1624896 ( - ( log ( 1 - z 5 ) - - 1 5 log ( - 1 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) z 11 / 5 - 5 66 ( 66 z 2 + 11 z + 6 ) ) ) ) HypergeometricPFQ -1 11 5 6 9 5 z 1 9765625 11 625 84 z -89 z -1 2 -1 -1 1 z 4 5 -1 3696 1 -1 z 1 5 -1 -1 1 5 -1 1 5 z 1 5 1 -1 2 5 1 -1 -1 2 5 z 1 5 -1 -1 3 5 -1 3 5 z 1 5 1 -1 4 5 1 -1 -1 4 5 z 1 5 -1 288288 -1 z 1 5 1 -1 z 1 5 -1 -1 1 5 -1 1 5 z 1 5 1 -1 2 5 1 -1 -1 2 5 z 1 5 -1 -1 3 5 -1 3 5 z 1 5 1 -1 4 5 1 -1 -1 4 5 z 1 5 -5 1489488 -1 1 -1 z 1 5 -1 -1 1 5 -1 1 5 z 1 5 1 -1 2 5 1 -1 -1 2 5 z 1 5 -1 -1 3 5 -1 3 5 z 1 5 1 -1 4 5 1 -1 -1 4 5 z 1 5 z 6 5 -1 5 z -1 5 6 -1 1624896 -1 1 -1 z 1 5 -1 -1 1 5 -1 1 5 z 1 5 1 -1 2 5 1 -1 -1 2 5 z 1 5 -1 -1 3 5 -1 3 5 z 1 5 1 -1 4 5 1 -1 -1 4 5 z 1 5 z 11 5 -1 5 66 66 z 2 11 z 6 [/itex]

 Rule Form

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

 2007-05-02