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 PolyLog

 http://functions.wolfram.com/10.07.07.0009.01

 Input Form

 PolyLog[2, z] == -Integrate[(1/w) Integrate[1/t, {t, 1, 1 - w}], {w, 0, z}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[FractionBox["1", "w"], RowBox[List["(", RowBox[List[SubsuperscriptBox["\[Integral]", "1", RowBox[List["1", "-", "w"]]], RowBox[List[FractionBox["1", "t"], RowBox[List["\[DifferentialD]", "t"]]]]]], ")"]], RowBox[List["\[DifferentialD]", "w"]]]]]]]]]]]]

 MathML Form

 Li PolyLog 2 ( z ) - 0 z 1 w ( 1 1 - w 1 t t ) w PolyLog 2 z -1 w 0 z 1 w -1 t 1 1 -1 w 1 t -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "1", RowBox[List["1", "-", "w"]]], RowBox[List[FractionBox["1", "t"], RowBox[List["\[DifferentialD]", "t"]]]]]], "w"], RowBox[List["\[DifferentialD]", "w"]]]]]]]]]]]]

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

 2001-10-29