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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.au8r.01

 Input Form

 Hypergeometric2F1[-(11/5), 4, -(1/5), z] == (1/3125) (11 (-((25 (-47 + 42 z))/(-1 + z)^2) - 3696 (-(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)])) + 8736 ((-(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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 MathML Form

 2 F 1 ( - 11 5 , 4 ; - 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["11", "5"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", 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", "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 3125 ( 11 ( - 25 ( 42 z - 47 ) ( z - 1 ) 2 - 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 ) ) z 6 / 5 - 5 z - 5 6 ) + 8736 ( - ( 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 4 -1 1 5 z 1 3125 11 -1 25 42 z -47 z -1 2 -1 -1 3696 -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 8736 -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