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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b2bx.01

 Input Form

 Hypergeometric2F1[14/5, 6, 29/5, -z] == (1/(1953125 z^(24/5) (1 + z)^3)) (266 (-1)^(1/5) (36 (-1)^(4/5) (1 + z)^3 (133 - 84 z + 33 z^2) Log[1 + z^(1/5)] + 36 (1 + z)^3 (133 - 84 z + 33 z^2) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) (36 (1 + z)^3 (133 - 84 z + 33 z^2) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (-36 (1 + z)^3 (133 - 84 z + 33 z^2) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-1197 - 2303 z - 702 z^2 + 342 z^3 + 1188 z^4) + 36 (1 + z)^3 (133 - 84 z + 33 z^2) Log[1 + (-1)^(4/5) z^(1/5)])))))

 Standard Form

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 MathML Form

 2 F 1 ( 14 5 , 6 ; 29 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["14", "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["29", "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 1953125 z 24 / 5 ( z + 1 ) 3 ( 266 - 1 5 ( 36 ( - 1 ) 4 / 5 ( 33 z 2 - 84 z + 133 ) log ( z 5 + 1 ) ( z + 1 ) 3 + 36 ( 33 z 2 - 84 z + 133 ) log ( 1 - - 1 5 z 5 ) ( z + 1 ) 3 - - 1 5 ( 36 ( 33 z 2 - 84 z + 133 ) log ( ( - 1 ) 2 / 5 z 5 + 1 ) ( z + 1 ) 3 + - 1 5 ( - 1 5 ( 36 ( 33 z 2 - 84 z + 133 ) log ( ( - 1 ) 4 / 5 z 5 + 1 ) ( z + 1 ) 3 + 5 - 1 5 z 4 / 5 ( 1188 z 4 + 342 z 3 - 702 z 2 - 2303 z - 1197 ) ) - 36 ( z + 1 ) 3 ( 33 z 2 - 84 z + 133 ) log ( 1 - ( - 1 ) 3 / 5 z 5 ) ) ) ) ) HypergeometricPFQ 14 5 6 29 5 -1 z 1 1953125 z 24 5 z 1 3 -1 266 -1 1 5 36 -1 4 5 33 z 2 -1 84 z 133 z 1 5 1 z 1 3 36 33 z 2 -1 84 z 133 1 -1 -1 1 5 z 1 5 z 1 3 -1 -1 1 5 36 33 z 2 -1 84 z 133 -1 2 5 z 1 5 1 z 1 3 -1 1 5 -1 1 5 36 33 z 2 -1 84 z 133 -1 4 5 z 1 5 1 z 1 3 5 -1 1 5 z 4 5 1188 z 4 342 z 3 -1 702 z 2 -1 2303 z -1197 -1 36 z 1 3 33 z 2 -1 84 z 133 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