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 ArcSech

 http://functions.wolfram.com/01.30.27.0390.01

 Input Form

 ArcSech[z^2/(z^2 - 2)] == 2 z Sqrt[-(1/z^2)] (Pi/2 - ArcCos[1/z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", FractionBox[SuperscriptBox["z", "2"], RowBox[List[SuperscriptBox["z", "2"], "-", "2"]]], "]"]], "\[Equal]", RowBox[List["2", "z", " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]], ")"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", FractionBox[SuperscriptBox["z_", "2"], RowBox[List[SuperscriptBox["z_", "2"], "-", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", "z", " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]], ")"]]]]]]]]

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

 2003-08-21