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 ArcCosh

 http://functions.wolfram.com/01.26.16.0045.01

 Input Form

 ArcCosh[(z^2 - 2)/z^2] == -2 ArcCosh[1/z] + Pi I /; Element[z, Reals] && z > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCosh", "[", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "-", "2"]], SuperscriptBox["z", "2"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", "2"]], RowBox[List["ArcCosh", "[", FractionBox["1", "z"], "]"]]]], "+", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", ">", "1"]]]], ")"]]]]]]

 MathML Form

 cosh - 1 ( z 2 - 2 z 2 ) - 2 cosh - 1 ( 1 z ) + π /; ( z z > 1 ) Condition z 2 -2 z 2 -1 -2 1 z -1 z 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[RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["ArcCosh", "[", FractionBox["1", "z"], "]"]]]], "+", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", ">", "1"]]]]]]]]]]

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

 2003-08-21