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 ArcCosh

 http://functions.wolfram.com/01.26.04.0002.01

 Input Form

 ArcCosh[Conjugate[z]] == Conjugate[ArcCosh[z]] /; !IntervalMemberQ[Interval[{-Infinity, 1}], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCosh", "[", RowBox[List["Conjugate", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["ArcCosh", "[", "z", "]"]], "]"]]]], "/;", RowBox[List["Not", "[", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Infinity]"]], ",", "1"]], "}"]], "]"]], ",", "z"]], "]"]], "]"]]]]]]

 MathML Form

 cosh - 1 ( z _ ) cosh - 1 ( z ) _ /; z ( - , 1 ) cosh - 1 ( z _ ) cosh - 1 ( z ) _ /; z ( - , 1 ) [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCosh", "[", RowBox[List["Conjugate", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["ArcCosh", "[", "z", "]"]], "]"]], "/;", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Infinity]"]], ",", "1"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]]

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

 2001-10-29