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 ArcCoth

 http://functions.wolfram.com/01.28.27.3249.01

 Input Form

 ArcCoth[z] == 2 ArcSech[Sqrt[(2 Sqrt[z^2 - 1])/(Sqrt[z^2 - 1] + z)]] /; Re[z] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCoth", "[", "z", "]"]], "\[Equal]", RowBox[List["2", " ", RowBox[List["ArcSech", "[", SqrtBox[FractionBox[RowBox[List["2", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]]]], RowBox[List[SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]], "+", "z"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]

 MathML Form

 coth - 1 ( z ) 2 sech - 1 ( 2 z 2 - 1 z 2 - 1 + z ) /; Re ( z ) > 0 Condition z 2 2 z 2 -1 1 2 z 2 -1 1 2 z -1 1 2 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcSech", "[", SqrtBox[FractionBox[RowBox[List["2", " ", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]]]], RowBox[List[SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]], "+", "z"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]]]

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

 2003-09-04