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 PolyLog

 http://functions.wolfram.com/10.07.21.0005.01

 Input Form

 Integrate[PolyLog[\[Nu], (-a) z]/z, z] == PolyLog[\[Nu] + 1, (-a) z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", RowBox[List[RowBox[List["-", "a"]], " ", "z"]]]], "]"]], "z"], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["PolyLog", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", RowBox[List[RowBox[List["-", "a"]], " ", "z"]]]], "]"]]]]]]

 MathML Form

 Li PolyLog ν ( - a z ) z z Li PolyLog ν + 1 ( - a z ) z Subscript PolyLog ν -1 a z z -1 PolyLog ν 1 -1 a z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]_", ",", RowBox[List[RowBox[List["-", "a_"]], " ", "z_"]]]], "]"]], "z_"], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["PolyLog", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", RowBox[List[RowBox[List["-", "a"]], " ", "z"]]]], "]"]]]]]]

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

 2001-10-29