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 PolyLog

 http://functions.wolfram.com/10.08.17.0006.01

 Input Form

 PolyLog[\[Nu], -1] == (-(1 - 2^(1 - \[Nu]))) PolyLog[\[Nu], 1] /; Re[\[Nu]] > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", RowBox[List["-", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["2", RowBox[List["1", "-", "\[Nu]"]]]]], ")"]]]], " ", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "1"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", "1"]]]]]]

 MathML Form

 Li PolyLog ν ( - 1 ) - ( 1 - 2 1 - ν ) Li PolyLog ν ( 1 ) /; Re ( ν ) > 1 Condition PolyLog ν -1 -1 1 -1 2 1 -1 ν PolyLog ν 1 ν 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]_", ",", RowBox[List["-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["2", RowBox[List["1", "-", "\[Nu]"]]]]], ")"]]]], " ", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "1"]], "]"]]]], "/;", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", "1"]]]]]]]]

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

 2001-10-29