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 ArcSech

 http://functions.wolfram.com/01.30.27.1558.01

 Input Form

 ArcSech[z] == -2 Sqrt[z - 1] Sqrt[1/(z - 1)] ArcSinh[Sqrt[z - 1]/Sqrt[-2 z]]

 Standard Form

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

 MathML Form

 sech - 1 ( z ) - 2 z - 1 1 z - 1 sinh - 1 ( z - 1 - 2 z ) z -2 z -1 1 2 1 z -1 -1 1 2 z -1 1 2 -2 z 1 2 -1 [/itex]

 Rule Form

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

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

 2003-08-21