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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.ayj1.01

 Input Form

 Hypergeometric2F1[3/5, 4, 13/5, z] == (1/3125) (4 ((475 - 350 z)/(-1 + z)^2 - (1/z^(8/5)) (14 (5 z^(3/5) + 3 Log[1 - z^(1/5)] + 3 (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + 3 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - 3 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - 3 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])) - (1/z^(3/5)) (168 (Log[1 - z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)]))))

 Standard Form

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 MathML Form

 2 F 1 ( 3 5 , 4 ; 13 5 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["3", "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[FractionBox["13", "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 ( 4 ( 475 - 350 z ( z - 1 ) 2 - 1 z 8 / 5 ( 14 ( 3 log ( 1 - z 5 ) + 3 ( - 1 ) 2 / 5 log ( - 1 5 z 5 + 1 ) + 3 ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - 3 - 1 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - 3 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) + 5 z 3 / 5 ) ) - 1 z 3 / 5 ( 168 ( log ( 1 - z 5 ) + ( - 1 ) 2 / 5 log ( - 1 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - - 1 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) ) ) ) HypergeometricPFQ 3 5 4 13 5 z 1 3125 4 475 -1 350 z z -1 2 -1 -1 1 z 8 5 -1 14 3 1 -1 z 1 5 3 -1 2 5 -1 1 5 z 1 5 1 3 -1 4 5 1 -1 -1 2 5 z 1 5 -1 3 -1 1 5 -1 3 5 z 1 5 1 -1 3 -1 3 5 1 -1 -1 4 5 z 1 5 5 z 3 5 -1 1 z 3 5 -1 168 1 -1 z 1 5 -1 2 5 -1 1 5 z 1 5 1 -1 4 5 1 -1 -1 2 5 z 1 5 -1 -1 1 5 -1 3 5 z 1 5 1 -1 -1 3 5 1 -1 -1 4 5 z 1 5 [/itex]

 Rule Form

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

 2007-05-02