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 PolyLog

 http://functions.wolfram.com/10.08.04.0010.01

 Input Form

 Limit[PolyLog[\[Nu], x - I \[Epsilon]], \[Epsilon] -> Plus[0]] == PolyLog[\[Nu], x] /; x > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", RowBox[List["x", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]]]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]]]], "/;", RowBox[List["x", ">", "1"]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 Li PolyLog ν ( x - ϵ ) Li PolyLog ν ( x ) /; x > 1 Condition ϵ ϵ 0 PolyLog ν x -1 ϵ PolyLog ν x x 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]_", ",", RowBox[List["x_", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]]]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]], "/;", RowBox[List["x", ">", "1"]]]]]]]]

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

 2001-10-29