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 Cot

 http://functions.wolfram.com/01.09.16.0085.01

 Input Form

 Cot[ArcTanh[z]] == I - (2 I)/(1 - (1 + z)^I/(1 - z)^I)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Cot", "[", RowBox[List["ArcTanh", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", "-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]"]], RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], RowBox[List["-", "\[ImaginaryI]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], "\[ImaginaryI]"]]]]]]]]]]]]

 MathML Form

 cot ( tanh - 1 ( z ) ) - 2 1 - ( 1 - z ) - ( z + 1 ) z -1 2 1 -1 1 -1 z -1 z 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", RowBox[List["ArcTanh", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", "-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]"]], RowBox[List["1", "-", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], RowBox[List["-", "\[ImaginaryI]"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], "\[ImaginaryI]"]]]]]]]]]]]]

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

 2007-05-02