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 ArcCosh

 http://functions.wolfram.com/01.26.27.0286.01

 Input Form

 ArcCosh[(z^2 - 2)/z^2] == z Sqrt[-(1/z^2)] (Pi - 2 ArcCos[1/z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCosh", "[", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "-", "2"]], SuperscriptBox["z", "2"]], "]"]], "\[Equal]", RowBox[List["z", " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["2", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]]]], ")"]]]]]]]]

 MathML Form

 cosh - 1 ( z 2 - 2 z 2 ) z - 1 z 2 ( π - 2 cos - 1 ( 1 z ) ) z 2 -2 z 2 -1 z -1 1 z 2 -1 1 2 -1 2 1 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCosh", "[", FractionBox[RowBox[List[SuperscriptBox["z_", "2"], "-", "2"]], SuperscriptBox["z_", "2"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["z", " ", SqrtBox[RowBox[List["-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["2", " ", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]]]], ")"]]]]]]]]

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

 2003-08-21