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 ArcSech

 http://functions.wolfram.com/01.30.27.0570.01

 Input Form

 ArcSech[z] == Pi Sqrt[-z] Sqrt[1/z] - 2 Sqrt[-z] Sqrt[1/z] ArcTan[Sqrt[(z + 1)/(z - 1)]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List["\[Pi]", " ", SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]]]], "-", RowBox[List["2", " ", SqrtBox[RowBox[List["-", "z"]]], SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox[RowBox[List["z", "+", "1"]], RowBox[List["z", "-", "1"]]]], "]"]]]]]]]]]]

 MathML Form

 sech - 1 ( z ) π - z 1 z - 2 - z 1 z tan - 1 ( z + 1 z - 1 ) z -1 z 1 2 1 z -1 1 2 -1 2 -1 z 1 2 1 z -1 1 2 z 1 z -1 -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[Pi]", " ", SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]]]], "-", RowBox[List["2", " ", SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox[RowBox[List["z", "+", "1"]], RowBox[List["z", "-", "1"]]]], "]"]]]]]]]]]]

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

 2003-08-21