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 ArcCosh

 http://functions.wolfram.com/01.26.06.0097.01

 Input Form

 ArcCosh[z] \[Proportional] Log[2 z] - (1/(4 z^2)) (1 + 3/(8 z^2) + O[1/z^4])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCosh", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["Log", "[", RowBox[List["2", "z"]], "]"]], "-", RowBox[List[FractionBox["1", RowBox[List["4", " ", SuperscriptBox["z", "2"]]]], RowBox[List["(", RowBox[List["1", "+", FractionBox["3", RowBox[List["8", " ", SuperscriptBox["z", "2"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "4"]], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 cosh - 1 ( z ) log ( 2 z ) - 1 4 z 2 ( 1 + 3 8 z 2 + O ( 1 z 4 ) ) Proportional z 2 z -1 1 4 z 2 -1 1 3 8 z 2 -1 O 1 z 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCosh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Log", "[", RowBox[List["2", " ", "z"]], "]"]], "-", FractionBox[RowBox[List["1", "+", FractionBox["3", RowBox[List["8", " ", SuperscriptBox["z", "2"]]]], "+", RowBox[List["SeriesData", "[", RowBox[List["z", ",", "\[Infinity]", ",", RowBox[List["{", "0", "}"]], ",", "0", ",", "4"]], "]"]]]], RowBox[List["4", " ", SuperscriptBox["z", "2"]]]]]]]]]]

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

 2007-05-02

© 1998- Wolfram Research, Inc.