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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.atf7.01

 Input Form

 Hypergeometric2F1[-(13/5), 4, -(3/5), z] == (1/9375) (52 (-((25 (-51 + 46 z))/(-1 + z)^2) - 5382 ((-(5/24)) (3 + 8 z) - z^(8/5) (Log[1 - z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(4/5) z^(1/5)])) + 11592 (-(5/13) - (5 z)/8 - (5 z^2)/3 - z^(13/5) (Log[1 - z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(4/5) z^(1/5)]))))

 Standard Form

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 MathML Form

 2 F 1 ( - 13 5 , 4 ; - 3 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["13", "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["3", "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 9375 ( 52 ( - 25 ( 46 z - 51 ) ( z - 1 ) 2 - 5382 ( - ( log ( 1 - z 5 ) - ( - 1 ) 3 / 5 log ( - 1 5 z 5 + 1 ) - - 1 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + ( - 1 ) 4 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) z 8 / 5 - 5 24 ( 8 z + 3 ) ) + 11592 ( - ( log ( 1 - z 5 ) - ( - 1 ) 3 / 5 log ( - 1 5 z 5 + 1 ) - - 1 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + ( - 1 ) 4 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) z 13 / 5 - 5 z 2 3 - 5 z 8 - 5 13 ) ) ) HypergeometricPFQ -1 13 5 4 -1 3 5 z 1 9375 52 -1 25 46 z -51 z -1 2 -1 -1 5382 -1 1 -1 z 1 5 -1 -1 3 5 -1 1 5 z 1 5 1 -1 -1 1 5 1 -1 -1 2 5 z 1 5 -1 4 5 -1 3 5 z 1 5 1 -1 2 5 1 -1 -1 4 5 z 1 5 z 8 5 -1 5 24 8 z 3 11592 -1 1 -1 z 1 5 -1 -1 3 5 -1 1 5 z 1 5 1 -1 -1 1 5 1 -1 -1 2 5 z 1 5 -1 4 5 -1 3 5 z 1 5 1 -1 2 5 1 -1 -1 4 5 z 1 5 z 13 5 -1 5 z 2 3 -1 -1 5 z 8 -1 -1 5 13 [/itex]

 Rule Form

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

 2007-05-02