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 ArcSech

 http://functions.wolfram.com/01.30.27.1385.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21