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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.ar5u.01

 Input Form

 Hypergeometric2F1[-(19/5), 1, -(9/5), -z] == (1/450) (450 - 950 z + 3325 z^2 + 5985 z^3 + 4788 z^(14/5) (1 + z) Log[1 + z^(1/5)] + 4788 (-1)^(4/5) z^(14/5) (1 + z) Log[1 - (-1)^(1/5) z^(1/5)] - 4788 (-1)^(3/5) z^(14/5) Log[1 + (-1)^(2/5) z^(1/5)] - 4788 (-1)^(3/5) z^(19/5) Log[1 + (-1)^(2/5) z^(1/5)] + 4788 (-1)^(2/5) z^(14/5) Log[1 - (-1)^(3/5) z^(1/5)] + 4788 (-1)^(2/5) z^(19/5) Log[1 - (-1)^(3/5) z^(1/5)] - 4788 (-1)^(1/5) z^(14/5) Log[1 + (-1)^(4/5) z^(1/5)] - 4788 (-1)^(1/5) z^(19/5) Log[1 + (-1)^(4/5) z^(1/5)])

 Standard Form

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 MathML Form

 2 F 1 ( - 19 5 , 1 ; - 9 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["19", "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[RowBox[List["-", FractionBox["9", "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] 1 450 ( - 4788 ( - 1 ) 3 / 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) z 19 / 5 + 4788 ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) z 19 / 5 - 4788 - 1 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) z 19 / 5 + 5985 z 3 + 4788 ( z + 1 ) log ( z 5 + 1 ) z 14 / 5 + 4788 ( - 1 ) 4 / 5 ( z + 1 ) log ( 1 - - 1 5 z 5 ) z 14 / 5 - 4788 ( - 1 ) 3 / 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) z 14 / 5 + 4788 ( - 1 ) 2 / 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) z 14 / 5 - 4788 - 1 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) z 14 / 5 + 3325 z 2 - 950 z + 450 ) HypergeometricPFQ -1 19 5 1 -1 9 5 -1 z 1 450 -4788 -1 3 5 -1 2 5 z 1 5 1 z 19 5 4788 -1 2 5 1 -1 -1 3 5 z 1 5 z 19 5 -1 4788 -1 1 5 -1 4 5 z 1 5 1 z 19 5 5985 z 3 4788 z 1 z 1 5 1 z 14 5 4788 -1 4 5 z 1 1 -1 -1 1 5 z 1 5 z 14 5 -1 4788 -1 3 5 -1 2 5 z 1 5 1 z 14 5 4788 -1 2 5 1 -1 -1 3 5 z 1 5 z 14 5 -1 4788 -1 1 5 -1 4 5 z 1 5 1 z 14 5 3325 z 2 -1 950 z 450 [/itex]

 Rule Form

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

 2007-05-02