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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.ap3y.01

 Input Form

 Hypergeometric2F1[-(26/5), 1, 24/5, -z] == (1/(1757812500 z^(19/5))) (19 (-1)^(1/5) (144144 (-1)^(4/5) (1 + z)^9 Log[1 + z^(1/5)] + 144144 (1 + z)^9 Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) (144144 (1 + z)^9 Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (-144144 (1 + z)^9 Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-36036 - 308308 z - 1163448 z^2 + 15967764 z^3 + 16541655 z^4 + 11352159 z^5 + 4986072 z^6 + 1273272 z^7 + 144144 z^8) + 144144 (1 + z)^9 Log[1 + (-1)^(4/5) z^(1/5)])))))

 Standard Form

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 MathML Form

 2 F 1 ( - 26 5 , 1 ; 24 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["26", "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["24", "5"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "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 1757812500 z 19 / 5 ( 19 - 1 5 ( 144144 ( - 1 ) 4 / 5 log ( z 5 + 1 ) ( z + 1 ) 9 + 144144 log ( 1 - - 1 5 z 5 ) ( z + 1 ) 9 - - 1 5 ( 144144 log ( ( - 1 ) 2 / 5 z 5 + 1 ) ( z + 1 ) 9 + - 1 5 ( - 1 5 ( 144144 log ( ( - 1 ) 4 / 5 z 5 + 1 ) ( z + 1 ) 9 + 5 - 1 5 z 4 / 5 ( 144144 z 8 + 1273272 z 7 + 4986072 z 6 + 11352159 z 5 + 16541655 z 4 + 15967764 z 3 - 1163448 z 2 - 308308 z - 36036 ) ) - 144144 ( z + 1 ) 9 log ( 1 - ( - 1 ) 3 / 5 z 5 ) ) ) ) ) HypergeometricPFQ -1 26 5 1 24 5 -1 z 1 1757812500 z 19 5 -1 19 -1 1 5 144144 -1 4 5 z 1 5 1 z 1 9 144144 1 -1 -1 1 5 z 1 5 z 1 9 -1 -1 1 5 144144 -1 2 5 z 1 5 1 z 1 9 -1 1 5 -1 1 5 144144 -1 4 5 z 1 5 1 z 1 9 5 -1 1 5 z 4 5 144144 z 8 1273272 z 7 4986072 z 6 11352159 z 5 16541655 z 4 15967764 z 3 -1 1163448 z 2 -1 308308 z -36036 -1 144144 z 1 9 1 -1 -1 3 5 z 1 5 [/itex]

 Rule Form

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

 2007-05-02