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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[6/5, 6, 16/5, z] == (1/781250) (11 (-((25 (-3028 + 5614 z - 3969 z^2 + 1008 z^3))/(-1 + z)^4) + (1/z^(11/5)) (252 (30 z^(1/5) + 5 z^(6/5) + 6 Log[1 - z^(1/5)] + 6 (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - 6 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + 6 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - 6 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])) + (1/z^(6/5)) (4788 (5 z^(1/5) + Log[1 - z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)]))))

 Standard Form

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 MathML Form

 2 F 1 ( 6 5 , 6 ; 16 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["6", "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["16", "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 781250 ( 11 ( - 25 ( 1008 z 3 - 3969 z 2 + 5614 z - 3028 ) ( z - 1 ) 4 + 1 z 11 / 5 ( 252 ( 5 z 6 / 5 + 30 z 5 + 6 log ( 1 - z 5 ) + 6 ( - 1 ) 4 / 5 log ( - 1 5 z 5 + 1 ) - 6 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + 6 ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - 6 - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) ) ) + 1 z 6 / 5 ( 4788 ( log ( 1 - z 5 ) + ( - 1 ) 4 / 5 log ( - 1 5 z 5 + 1 ) - ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) + 5 z 5 ) ) ) ) HypergeometricPFQ 6 5 6 16 5 z 1 781250 11 -1 25 1008 z 3 -1 3969 z 2 5614 z -3028 z -1 4 -1 1 z 11 5 -1 252 5 z 6 5 30 z 1 5 6 1 -1 z 1 5 6 -1 4 5 -1 1 5 z 1 5 1 -1 6 -1 3 5 1 -1 -1 2 5 z 1 5 6 -1 2 5 -1 3 5 z 1 5 1 -1 6 -1 1 5 1 -1 -1 4 5 z 1 5 1 z 6 5 -1 4788 1 -1 z 1 5 -1 4 5 -1 1 5 z 1 5 1 -1 -1 3 5 1 -1 -1 2 5 z 1 5 -1 2 5 -1 3 5 z 1 5 1 -1 -1 1 5 1 -1 -1 4 5 z 1 5 5 z 1 5 [/itex]

 Rule Form

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

 2007-05-02