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 ArcSech

 http://functions.wolfram.com/01.30.27.2058.01

 Input Form

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

 MathML Form

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

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

 2003-08-21