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 ArcCoth

 http://functions.wolfram.com/01.28.27.3443.01

 Input Form

 ArcCoth[Sqrt[(z - 1)/(z + 1)]] == (1/2) ArcSech[1/z] - ((Pi Sqrt[z])/2) Sqrt[-(1/z)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["z", "+", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox["1", "2"], RowBox[List["ArcSech", "[", FractionBox["1", "z"], "]"]]]], "-", RowBox[List[FractionBox[RowBox[List["\[Pi]", SqrtBox["z"]]], "2"], SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]]]]]]]]]]

 MathML Form

 coth - 1 ( z - 1 z + 1 ) 1 2 sech - 1 ( 1 z ) - π z 2 - 1 z z -1 z 1 -1 1 2 1 2 1 z -1 -1 z 1 2 2 -1 -1 1 z -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", SqrtBox[FractionBox[RowBox[List["z_", "-", "1"]], RowBox[List["z_", "+", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcSech", "[", FractionBox["1", "z"], "]"]]]], "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["\[Pi]", " ", SqrtBox["z"]]], ")"]], " ", SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]]]]]]]]]]

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

 2003-09-04