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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[3/5, 1, 28/5, z] == (1/(12500 z^(23/5))) (23 (-1)^(1/5) (1560 (-1)^(4/5) z^(3/5) - 5655 (-1)^(4/5) z^(8/5) + 7380 (-1)^(4/5) z^(13/5) - 3910 (-1)^(4/5) z^(18/5) + 936 (-1)^(4/5) (-1 + z)^4 Log[1 - z^(1/5)] - 936 (-1)^(1/5) (-1 + z)^4 Log[1 + (-1)^(1/5) z^(1/5)] - 936 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + 3744 (-1)^(3/5) z Log[1 - (-1)^(2/5) z^(1/5)] - 5616 (-1)^(3/5) z^2 Log[1 - (-1)^(2/5) z^(1/5)] + 3744 (-1)^(3/5) z^3 Log[1 - (-1)^(2/5) z^(1/5)] - 936 (-1)^(3/5) z^4 Log[1 - (-1)^(2/5) z^(1/5)] + 936 Log[1 + (-1)^(3/5) z^(1/5)] - 3744 z Log[1 + (-1)^(3/5) z^(1/5)] + 5616 z^2 Log[1 + (-1)^(3/5) z^(1/5)] - 3744 z^3 Log[1 + (-1)^(3/5) z^(1/5)] + 936 z^4 Log[1 + (-1)^(3/5) z^(1/5)] + 936 (-1)^(2/5) Log[1 - (-1)^(4/5) z^(1/5)] - 3744 (-1)^(2/5) z Log[1 - (-1)^(4/5) z^(1/5)] + 5616 (-1)^(2/5) z^2 Log[1 - (-1)^(4/5) z^(1/5)] - 3744 (-1)^(2/5) z^3 Log[1 - (-1)^(4/5) z^(1/5)] + 936 (-1)^(2/5) z^4 Log[1 - (-1)^(4/5) z^(1/5)]))

 Standard Form

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 MathML Form

 2 F 1 ( 3 5 , 1 ; 28 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["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["28", "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 12500 z 23 / 5 ( 23 - 1 5 ( 936 ( - 1 ) 4 / 5 log ( 1 - z 5 ) ( z - 1 ) 4 - 936 - 1 5 log ( - 1 5 z 5 + 1 ) ( z - 1 ) 4 - 3910 ( - 1 ) 4 / 5 z 18 / 5 + 7380 ( - 1 ) 4 / 5 z 13 / 5 - 5655 ( - 1 ) 4 / 5 z 8 / 5 - 936 ( - 1 ) 3 / 5 z 4 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + 3744 ( - 1 ) 3 / 5 z 3 log ( 1 - ( - 1 ) 2 / 5 z 5 ) - 5616 ( - 1 ) 3 / 5 z 2 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + 3744 ( - 1 ) 3 / 5 z log ( 1 - ( - 1 ) 2 / 5 z 5 ) - 936 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) + 936 z 4 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - 3744 z 3 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + 5616 z 2 log ( ( - 1 ) 3 / 5 z 5 + 1 ) - 3744 z log ( ( - 1 ) 3 / 5 z 5 + 1 ) + 936 log ( ( - 1 ) 3 / 5 z 5 + 1 ) + 936 ( - 1 ) 2 / 5 z 4 log ( 1 - ( - 1 ) 4 / 5 z 5 ) - 3744 ( - 1 ) 2 / 5 z 3 log ( 1 - ( - 1 ) 4 / 5 z 5 ) + 5616 ( - 1 ) 2 / 5 z 2 log ( 1 - ( - 1 ) 4 / 5 z 5 ) - 3744 ( - 1 ) 2 / 5 z log ( 1 - ( - 1 ) 4 / 5 z 5 ) + 936 ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) + 1560 ( - 1 ) 4 / 5 z 3 / 5 ) ) HypergeometricPFQ 3 5 1 28 5 z 1 12500 z 23 5 -1 23 -1 1 5 936 -1 4 5 1 -1 z 1 5 z -1 4 -1 936 -1 1 5 -1 1 5 z 1 5 1 z -1 4 -1 3910 -1 4 5 z 18 5 7380 -1 4 5 z 13 5 -1 5655 -1 4 5 z 8 5 -1 936 -1 3 5 z 4 1 -1 -1 2 5 z 1 5 3744 -1 3 5 z 3 1 -1 -1 2 5 z 1 5 -1 5616 -1 3 5 z 2 1 -1 -1 2 5 z 1 5 3744 -1 3 5 z 1 -1 -1 2 5 z 1 5 -1 936 -1 3 5 1 -1 -1 2 5 z 1 5 936 z 4 -1 3 5 z 1 5 1 -1 3744 z 3 -1 3 5 z 1 5 1 5616 z 2 -1 3 5 z 1 5 1 -1 3744 z -1 3 5 z 1 5 1 936 -1 3 5 z 1 5 1 936 -1 2 5 z 4 1 -1 -1 4 5 z 1 5 -1 3744 -1 2 5 z 3 1 -1 -1 4 5 z 1 5 5616 -1 2 5 z 2 1 -1 -1 4 5 z 1 5 -1 3744 -1 2 5 z 1 -1 -1 4 5 z 1 5 936 -1 2 5 1 -1 -1 4 5 z 1 5 1560 -1 4 5 z 3 5 [/itex]

 Rule Form

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

 2007-05-02