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 ArcSech

 http://functions.wolfram.com/01.30.06.0058.01

 Input Form

 ArcSech[z] \[Proportional] Log[2/z] - (z^2/4) (1 + (3 z^2)/8 + (5 z^4)/24 + O[z^6])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["Log", "[", FractionBox["2", "z"], "]"]], "-", RowBox[List[FractionBox[SuperscriptBox["z", "2"], "4"], RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["3", SuperscriptBox["z", "2"]]], "8"], "+", FractionBox[RowBox[List["5", " ", SuperscriptBox["z", "4"]]], "24"], "+", RowBox[List["O", "[", SuperscriptBox["z", "6"], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 sech - 1 ( z ) log ( 2 z ) - z 2 4 ( 1 + 3 z 2 8 + 5 z 4 24 + O ( z 6 ) ) Proportional z 2 z -1 -1 z 2 4 -1 1 3 z 2 8 -1 5 z 4 24 -1 O z 6 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Log", "[", FractionBox["2", "z"], "]"]], "-", RowBox[List[FractionBox["1", "4"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "2"]]], "8"], "+", FractionBox[RowBox[List["5", " ", SuperscriptBox["z", "4"]]], "24"], "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "6"]]], ")"]]]]]]]]]]

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

 2007-05-02

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