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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(13/5), 2, -(3/5), z] == (1/375) (375 + 3250 z - 9360 z^2 - 312 z^(8/5) (-13 + 18 z) Log[1 - z^(1/5)] + 312 (-1)^(3/5) z^(8/5) (-13 + 18 z) Log[1 + (-1)^(1/5) z^(1/5)] - 4056 (-1)^(1/5) z^(8/5) Log[1 - (-1)^(2/5) z^(1/5)] + 5616 (-1)^(1/5) z^(13/5) Log[1 - (-1)^(2/5) z^(1/5)] + 4056 (-1)^(4/5) z^(8/5) Log[1 + (-1)^(3/5) z^(1/5)] - 5616 (-1)^(4/5) z^(13/5) Log[1 + (-1)^(3/5) z^(1/5)] + 4056 (-1)^(2/5) z^(8/5) Log[1 - (-1)^(4/5) z^(1/5)] - 5616 (-1)^(2/5) z^(13/5) Log[1 - (-1)^(4/5) z^(1/5)])

 Standard Form

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 MathML Form

 2 F 1 ( - 13 5 , 2 ; - 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["2", 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] 1 375 ( 5616 - 1 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 13 / 5 - 5616 ( - 1 ) 4 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 13 / 5 - 5616 ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 13 / 5 - 9360 z 2 - 312 ( 18 z - 13 ) log ( 1 - z 5 ) z 8 / 5 + 312 ( - 1 ) 3 / 5 ( 18 z - 13 ) log ( - 1 5 z 5 + 1 ) z 8 / 5 - 4056 - 1 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 8 / 5 + 4056 ( - 1 ) 4 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 8 / 5 + 4056 ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 8 / 5 + 3250 z + 375 ) HypergeometricPFQ -1 13 5 2 -1 3 5 z 1 375 5616 -1 1 5 1 -1 -1 2 5 z 1 5 z 13 5 -1 5616 -1 4 5 -1 3 5 z 1 5 1 z 13 5 -1 5616 -1 2 5 1 -1 -1 4 5 z 1 5 z 13 5 -1 9360 z 2 -1 312 18 z -13 1 -1 z 1 5 z 8 5 312 -1 3 5 18 z -13 -1 1 5 z 1 5 1 z 8 5 -1 4056 -1 1 5 1 -1 -1 2 5 z 1 5 z 8 5 4056 -1 4 5 -1 3 5 z 1 5 1 z 8 5 4056 -1 2 5 1 -1 -1 4 5 z 1 5 z 8 5 3250 z 375 [/itex]

 Rule Form

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

 2007-05-02