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 ArcCoth

 http://functions.wolfram.com/01.28.06.0063.01

 Input Form

 ArcCoth[z]^2 \[Proportional] (1/z^2) (1 + 2/(3 z^2) + 23/(45 z^4) + \[Ellipsis]) /; (Abs[z] -> Infinity)

 Standard Form

 Cell[BoxData[RowBox[List[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"]]]], "+", "\[Ellipsis]"]], ")"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "\[Rule]", "\[Infinity]"]], ")"]]]]]]

 MathML Form

 coth - 1 ( z ) 2 1 z 2 ( 1 + 2 3 z 2 + 23 45 z 4 + ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" "\[Rule]" Rule Condition Proportional z 2 1 z 2 -1 1 2 3 z 2 -1 23 45 z 4 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["ArcCoth", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["1", "+", FractionBox["2", RowBox[List["3", " ", SuperscriptBox["z", "2"]]]], "+", FractionBox["23", RowBox[List["45", " ", SuperscriptBox["z", "4"]]]], "+", "\[Ellipsis]"]], SuperscriptBox["z", "2"]], "/;", RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "\[Rule]", "\[Infinity]"]], ")"]]]]]]]]

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

 2007-05-02