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 ArcSech

 http://functions.wolfram.com/01.30.16.0114.01

 Input Form

 ArcSech[z/Sqrt[z^2 - 1]] == (3 Pi I)/2 + ArcSech[z] /; Pi/2 < Arg[z] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSech", "[", FractionBox["z", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["3", "\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", " ", RowBox[List["ArcSech", "[", "z", "]"]]]]]], "/;", RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 sech - 1 ( z z 2 - 1 ) 3 π 2 + sech - 1 ( z ) /; π 2 < arg ( z ) < π Condition z z 2 -1 1 2 -1 3 2 -1 z 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", FractionBox["z_", SqrtBox[RowBox[List[SuperscriptBox["z_", "2"], "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["3", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["ArcSech", "[", "z", "]"]]]], "/;", RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

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

 2003-08-21