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 ArcCoth

 http://functions.wolfram.com/01.28.06.0034.01

 Input Form

 ArcCoth[z] \[Proportional] (-(Pi/2)) Sqrt[-(1/z^2)] z + z + z^3/3 + z^5/5 + O[z^7]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", "z"]], "+", "z", "+", FractionBox[SuperscriptBox["z", "3"], "3"], "+", FractionBox[SuperscriptBox["z", "5"], "5"], "+", RowBox[List["O", "[", SuperscriptBox["z", "7"], "]"]]]]]]]]

 MathML Form

 coth - 1 ( z ) - π 2 - 1 z 2 z + z + z 3 3 + z 5 5 + O ( z 7 ) Proportional z -1 2 -1 -1 1 z 2 -1 1 2 z z z 3 3 -1 z 5 5 -1 O z 7 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["-", "\[Pi]"]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", "z"]], "+", "z", "+", FractionBox[SuperscriptBox["z", "3"], "3"], "+", FractionBox[SuperscriptBox["z", "5"], "5"], "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "7"]]]]]]]

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

 2007-05-02