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 ArcSech

 http://functions.wolfram.com/01.30.27.2075.01

 Input Form

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

 Standard Form

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

 MathML Form

 sech - 1 ( 1 + z 1 - z ) 2 tanh - 1 ( 1 - z ) + π 1 z - z 1 z 1 -1 z -1 2 1 -1 z 1 2 -1 1 z -1 1 2 -1 z 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["\[Pi]", " ", SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]]]], "+", RowBox[List["2", " ", RowBox[List["ArcTanh", "[", FractionBox["1", SqrtBox[RowBox[List["-", "z"]]]], "]"]]]]]]]]]]

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

 2003-08-21