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 ArcSech

 http://functions.wolfram.com/01.30.27.0907.01

 Input Form

 ArcSech[(z - 1)/(z + 1)] == 2 z Sqrt[-(1/z^2)] ArcCot[Sqrt[-(1/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["2", " ", "z", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], RowBox[List["ArcCot", "[", SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]], "]"]]]], "+", RowBox[List[SqrtBox[RowBox[List["-", "z"]]], SqrtBox[FractionBox["1", "z"]], "\[Pi]"]]]]]]]]

 MathML Form

 sech - 1 ( z - 1 z + 1 ) - z 1 z π + 2 z - 1 z 2 cot - 1 ( - 1 z ) z -1 z 1 -1 -1 z 1 2 1 z -1 1 2 2 z -1 1 z 2 -1 1 2 -1 1 z -1 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["2", " ", "z", " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", RowBox[List["ArcCot", "[", SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]], "]"]]]], "+", RowBox[List[SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]], " ", "\[Pi]"]]]]]]]]

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

 2003-08-21