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 ArcSech

 http://functions.wolfram.com/01.30.27.0931.01

 Input Form

 ArcSech[(1 + z^2)/(1 - z^2)] == (-Pi) I + 2 I ArcCot[z] /; 0 < Arg[z] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSech", "[", FractionBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]], RowBox[List["1", "-", SuperscriptBox["z", "2"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", "\[Pi]"]], " ", "\[ImaginaryI]"]], "+", RowBox[List["2", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z", "]"]]]]]]]], "/;", RowBox[List["0", "<", RowBox[List["Arg", "[", "z", "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 sech - 1 ( 1 + z 2 1 - z 2 ) - π + 2 cot - 1 ( z ) /; 0 < arg ( z ) < π 2 Condition 1 z 2 1 -1 z 2 -1 -1 2 z 0 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", FractionBox[RowBox[List["1", "+", SuperscriptBox["z_", "2"]]], RowBox[List["1", "-", SuperscriptBox["z_", "2"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List[RowBox[List["-", "\[Pi]"]], " ", "\[ImaginaryI]"]], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z", "]"]]]]]], "/;", RowBox[List["0", "<", RowBox[List["Arg", "[", "z", "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2003-08-21