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 ArcSech

 http://functions.wolfram.com/01.30.27.0651.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21