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 ArcSech

 http://functions.wolfram.com/01.30.27.0648.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21