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 ArcSech

 http://functions.wolfram.com/01.30.27.0543.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21