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 ArcSech

 http://functions.wolfram.com/01.30.27.0043.02

 Input Form

 ArcSech[z] == (Pi I)/2 + ArcCsch[I z] /; Im[z] < 0 || z > 1 || z < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["ArcCsch", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]], "\[Or]", RowBox[List["z", ">", "1"]], "\[Or]", RowBox[List["z", "<", "0"]]]]]]]]

 MathML Form

 sech - 1 ( z ) π 2 + csch - 1 ( z ) /; Im ( z ) < 0 z > 1 z < 0 Condition z 2 -1 z z 0 z 1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["ArcCsch", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]], "||", RowBox[List["z", ">", "1"]], "||", RowBox[List["z", "<", "0"]]]]]]]]]]

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

 2001-10-29