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 PolyLog

 http://functions.wolfram.com/10.07.07.0003.01

 Input Form

 PolyLog[2, z] == -Integrate[(1/t) Log[1 - t z], {t, 0, 1}] /; Abs[z] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox["1", "t"], RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List["t", " ", "z"]]]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]

 MathML Form

 Li PolyLog 2 ( z ) - 0 1 log ( 1 - t z ) t t /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" < 1 Condition PolyLog 2 z -1 t 0 1 log 1 -1 t z t -1 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["Log", "[", RowBox[List["1", "-", RowBox[List["t", " ", "z"]]]], "]"]], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]]]

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

 2001-10-29