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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b2qz.01

 Input Form

 Hypergeometric2F1[16/5, 4, 26/5, z] == (1/3125) (56 (-(175/(-1 + z)^2) - 5280/z^4 - 550/z^3 - 425/z^2 - 300/z + (300 z)/(-1 + z)^2 + (66 (-16 + z) Log[1 - z^(1/5)])/z^(21/5) + (66 (-1)^(4/5) (-16 + z) Log[1 + (-1)^(1/5) z^(1/5)])/z^(21/5) + (1056 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(21/5) - (66 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(16/5) - (1056 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(21/5) + (66 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(16/5) + (1056 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(21/5) - (66 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(16/5)))

 Standard Form

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 MathML Form

 2 F 1 ( 16 5 , 4 ; 26 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["16", "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["26", "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 ( 56 ( 300 z ( z - 1 ) 2 - 175 ( z - 1 ) 2 - 300 z - 425 z 2 - 550 z 3 - 66 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 16 / 5 + 66 ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 16 / 5 - 66 - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 16 / 5 - 5280 z 4 + 66 ( z - 16 ) log ( 1 - z 5 ) z 21 / 5 + 66 ( - 1 ) 4 / 5 ( z - 16 ) log ( - 1 5 z 5 + 1 ) z 21 / 5 + 1056 ( - 1 ) 3 / 5 log ( 1 - ( - 1 ) 2 / 5 z 5 ) z 21 / 5 - 1056 ( - 1 ) 2 / 5 log ( ( - 1 ) 3 / 5 z 5 + 1 ) z 21 / 5 + 1056 - 1 5 log ( 1 - ( - 1 ) 4 / 5 z 5 ) z 21 / 5 ) ) HypergeometricPFQ 16 5 4 26 5 z 1 3125 56 300 z z -1 2 -1 -1 175 z -1 2 -1 -1 300 z -1 -1 425 z 2 -1 -1 550 z 3 -1 -1 66 -1 3 5 1 -1 -1 2 5 z 1 5 z 16 5 -1 66 -1 2 5 -1 3 5 z 1 5 1 z 16 5 -1 -1 66 -1 1 5 1 -1 -1 4 5 z 1 5 z 16 5 -1 -1 5280 z 4 -1 66 z -16 1 -1 z 1 5 z 21 5 -1 66 -1 4 5 z -16 -1 1 5 z 1 5 1 z 21 5 -1 1056 -1 3 5 1 -1 -1 2 5 z 1 5 z 21 5 -1 -1 1056 -1 2 5 -1 3 5 z 1 5 1 z 21 5 -1 1056 -1 1 5 1 -1 -1 4 5 z 1 5 z 21 5 -1 [/itex]

 Rule Form

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

 2007-05-02