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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.c5za.01

 Input Form

 Hypergeometric2F1[2, 35/8, 43/8, -z] == (35/64) (8/(1 + z) + (1/(209 z^(35/8))) (15048 z^(3/8) - 4104 z^(11/8) + 2376 z^(19/8) - 1672 z^(27/8) - 5643 (-1)^(5/8) Log[1 - (-1)^(1/8) z^(1/8)] + 5643 (-1)^(5/8) Log[1 + (-1)^(1/8) z^(1/8)] + 5643 (-1)^(7/8) Log[1 - (-1)^(3/8) z^(1/8)] - 5643 (-1)^(7/8) Log[1 + (-1)^(3/8) z^(1/8)] + 5643 (-1)^(1/8) Log[1 - (-1)^(5/8) z^(1/8)] - 5643 (-1)^(1/8) Log[1 + (-1)^(5/8) z^(1/8)] - 5643 (-1)^(3/8) Log[1 - (-1)^(7/8) z^(1/8)] + 5643 (-1)^(3/8) Log[1 + (-1)^(7/8) z^(1/8)]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Hypergeometric2F1", "[", RowBox[List["2", ",", FractionBox["35", "8"], ",", FractionBox["43", "8"], ",", RowBox[List["-", "z"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["35", "64"], " ", RowBox[List["(", RowBox[List[FractionBox["8", RowBox[List["1", "+", "z"]]], "+", RowBox[List[FractionBox["1", RowBox[List["209", " ", SuperscriptBox["z", RowBox[List["35", "/", "8"]]]]]], RowBox[List["(", RowBox[List[RowBox[List["15048", " ", SuperscriptBox["z", RowBox[List["3", "/", "8"]]]]], "-", RowBox[List["4104", " ", SuperscriptBox["z", RowBox[List["11", "/", "8"]]]]], "+", RowBox[List["2376", " ", SuperscriptBox["z", RowBox[List["19", "/", "8"]]]]], "-", RowBox[List["1672", " ", SuperscriptBox["z", RowBox[List["27", "/", "8"]]]]], "-", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "+", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "+", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["7", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["3", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "-", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["7", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["3", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "+", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "-", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "-", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["3", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["7", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]], "+", RowBox[List["5643", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["3", "/", "8"]]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["7", "/", "8"]]], " ", SuperscriptBox["z", RowBox[List["1", "/", "8"]]]]]]], "]"]]]]]], ")"]]]]]], ")"]]]]]]]]

 MathML Form

 2 F 1 ( 2 , 35 8 ; 43 8 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["2", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["35", "8"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["43", "8"], 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] 35 64 ( 1 209 z 35 / 8 ( - 1672 z 27 / 8 + 2376 z 19 / 8 - 4104 z 11 / 8 + 15048 z 3 / 8 - 5643 ( - 1 ) 5 / 8 log ( 1 - - 1 8 z 8 ) + 5643 ( - 1 ) 5 / 8 log ( - 1 8 z 8 + 1 ) + 5643 ( - 1 ) 7 / 8 log ( 1 - ( - 1 ) 3 / 8 z 8 ) - 5643 ( - 1 ) 7 / 8 log ( ( - 1 ) 3 / 8 z 8 + 1 ) + 5643 - 1 8 log ( 1 - ( - 1 ) 5 / 8 z 8 ) - 5643 - 1 8 log ( ( - 1 ) 5 / 8 z 8 + 1 ) - 5643 ( - 1 ) 3 / 8 log ( 1 - ( - 1 ) 7 / 8 z 8 ) + 5643 ( - 1 ) 3 / 8 log ( ( - 1 ) 7 / 8 z 8 + 1 ) ) + 8 z + 1 ) HypergeometricPFQ 2 35 8 43 8 -1 z 35 64 1 209 z 35 8 -1 -1672 z 27 8 2376 z 19 8 -1 4104 z 11 8 15048 z 3 8 -1 5643 -1 5 8 1 -1 -1 1 8 z 1 8 5643 -1 5 8 -1 1 8 z 1 8 1 5643 -1 7 8 1 -1 -1 3 8 z 1 8 -1 5643 -1 7 8 -1 3 8 z 1 8 1 5643 -1 1 8 1 -1 -1 5 8 z 1 8 -1 5643 -1 1 8 -1 5 8 z 1 8 1 -1 5643 -1 3 8 1 -1 -1 7 8 z 1 8 5643 -1 3 8 -1 7 8 z 1 8 1 8 z 1 -1 [/itex]

 Rule Form

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

 2007-05-02