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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.as88.01

 Input Form

 Hypergeometric2F1[-(17/5), 5, -(7/5), -z] == (1/15625) (17 ((25 (1481 + 2752 z + 1296 z^2))/(1 + z)^3 - 161568 ((-(5/84)) (7 - 12 z + 42 z^2) - z^(12/5) (Log[1 + z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(3/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(4/5) z^(1/5)])) + 351648 (-(5/17) + (5 z)/12 - (5 z^2)/7 + (5 z^3)/2 + z^(17/5) (Log[1 + z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(3/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(4/5) z^(1/5)]))))

 Standard Form

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 MathML Form

 2 F 1 ( - 17 5 , 5 ; - 7 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["17", "5"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["5", 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["7", "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 15625 ( 17 ( 25 ( 1296 z 2 + 2752 z + 1481 ) ( z + 1 ) 3 - 161568 ( - ( log ( z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - - 1 5 z 5 ) + ( - 1 ) 4 / 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) - - 1 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) ) z 12 / 5 - 5 84 ( 42 z 2 - 12 z + 7 ) ) + 351648 ( ( log ( z 5 + 1 ) + ( - 1 ) 2 / 5 log ( 1 - - 1 5 z 5 ) + ( - 1 ) 4 / 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) - - 1 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) - ( - 1 ) 3 / 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) ) z 17 / 5 + 5 z 3 2 - 5 z 2 7 + 5 z 12 - 5 17 ) ) ) HypergeometricPFQ -1 17 5 5 -1 7 5 -1 z 1 15625 17 25 1296 z 2 2752 z 1481 z 1 3 -1 -1 161568 -1 z 1 5 1 -1 2 5 1 -1 -1 1 5 z 1 5 -1 4 5 -1 2 5 z 1 5 1 -1 -1 1 5 1 -1 -1 3 5 z 1 5 -1 -1 3 5 -1 4 5 z 1 5 1 z 12 5 -1 5 84 42 z 2 -1 12 z 7 351648 z 1 5 1 -1 2 5 1 -1 -1 1 5 z 1 5 -1 4 5 -1 2 5 z 1 5 1 -1 -1 1 5 1 -1 -1 3 5 z 1 5 -1 -1 3 5 -1 4 5 z 1 5 1 z 17 5 5 z 3 2 -1 -1 5 z 2 7 -1 5 z 12 -1 -1 5 17 [/itex]

 Rule Form

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

 2007-05-02