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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b355.01

 Input Form

 Hypergeometric2F1[18/5, 4, 28/5, z] == (1/3125) (69 (-(275/(-1 + z)^2) - 3120/z^4 - 650/z^3 - 525/z^2 - 400/z + (400 z)/(-1 + z)^2 + (312 (-6 + z) Log[1 - z^(1/5)])/z^(23/5) + (312 (-1)^(2/5) (-6 + z) Log[1 + (-1)^(1/5) z^(1/5)])/z^(23/5) - (1872 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(23/5) + (312 (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(18/5) + (1872 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(23/5) - (312 (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(18/5) + (1872 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(23/5) - (312 (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(18/5)))

 Standard Form

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 MathML Form

 2 F 1 ( 18 5 , 4 ; 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["18", "5"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", 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 3125 ( 69 ( 400 z ( z - 1 ) 2 - 275 ( z - 1 ) 2 - 400 z - 525 z 2 - 650 z 3 + 312 ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 18 / 5 - 312 - 1 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 18 / 5 - 312 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 18 / 5 - 3120 z 4 + 312 ( z - 6 ) log ( 1 - z 5 ) z 23 / 5 + 312 ( - 1 ) 2 / 5 ( z - 6 ) log ( - 1 5 z 5 + 1 ) z 23 / 5 - 1872 ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 23 / 5 + 1872 - 1 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 23 / 5 + 1872 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 23 / 5 ) ) HypergeometricPFQ 18 5 4 28 5 z 1 3125 69 400 z z -1 2 -1 -1 275 z -1 2 -1 -1 400 z -1 -1 525 z 2 -1 -1 650 z 3 -1 312 -1 4 5 1 -1 -1 2 5 z 1 5 z 18 5 -1 -1 312 -1 1 5 -1 3 5 z 1 5 1 z 18 5 -1 -1 312 -1 3 5 1 -1 -1 4 5 z 1 5 z 18 5 -1 -1 3120 z 4 -1 312 z -6 1 -1 z 1 5 z 23 5 -1 312 -1 2 5 z -6 -1 1 5 z 1 5 1 z 23 5 -1 -1 1872 -1 4 5 1 -1 -1 2 5 z 1 5 z 23 5 -1 1872 -1 1 5 -1 3 5 z 1 5 1 z 23 5 -1 1872 -1 3 5 1 -1 -1 4 5 z 1 5 z 23 5 -1 [/itex]

 Rule Form

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

 2007-05-02