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 PolyLog

 http://functions.wolfram.com/10.07.06.0011.02

 Input Form

 PolyLog[2, z] == (-(1/2)) Log[-z]^2 - Pi^2/6 + O[1/z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SuperscriptBox[RowBox[List["Log", "[", RowBox[List["-", "z"]], "]"]], "2"]]], "-", FractionBox[SuperscriptBox["\[Pi]", "2"], "6"], "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]]]]]]

 MathML Form

 Li PolyLog 2 ( z ) - 1 2 log 2 ( - z ) - π 2 6 + O ( 1 z ) PolyLog 2 z -1 1 2 -1 z 2 -1 2 6 -1 O 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["-", FractionBox["1", "2"]]], " ", SuperscriptBox[RowBox[List["Log", "[", RowBox[List["-", "z"]], "]"]], "2"]]], "-", FractionBox[SuperscriptBox["\[Pi]", "2"], "6"], "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.