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 ArcCoth

 http://functions.wolfram.com/01.28.06.0064.01

 Input Form

 ArcCoth[z]^2 \[Proportional] (1/z^2) (1 + 2/(3 z^2) + 23/(45 z^4) + O[1/z^6])

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["ArcCoth", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[FractionBox["1", SuperscriptBox["z", "2"]], RowBox[List["(", RowBox[List["1", "+", FractionBox["2", RowBox[List["3", SuperscriptBox["z", "2"]]]], "+", FractionBox["23", RowBox[List["45", SuperscriptBox["z", "4"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "6"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 coth - 1 ( z ) 2 1 z 2 ( 1 + 2 3 z 2 + 23 45 z 4 + O ( 1 z 6 ) ) Proportional z 2 1 z 2 -1 1 2 3 z 2 -1 23 45 z 4 -1 O 1 z 6 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["ArcCoth", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["1", "+", FractionBox["2", RowBox[List["3", " ", SuperscriptBox["z", "2"]]]], "+", FractionBox["23", RowBox[List["45", " ", SuperscriptBox["z", "4"]]]], "+", RowBox[List["SeriesData", "[", RowBox[List["z", ",", "\[Infinity]", ",", RowBox[List["{", "0", "}"]], ",", "0", ",", "6"]], "]"]]]], SuperscriptBox["z", "2"]]]]]]

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

 2007-05-02