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 ArcSec

 http://functions.wolfram.com/01.18.06.0063.01

 Input Form

 ArcSec[z]^2 \[Proportional] Pi^2/4 - Pi/z + 1/z^2 - Pi/(6 z^3) + O[1/z^4]

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["ArcSec", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[FractionBox[SuperscriptBox["\[Pi]", "2"], "4"], "-", FractionBox["\[Pi]", "z"], "+", FractionBox["1", SuperscriptBox["z", "2"]], "-", FractionBox["\[Pi]", RowBox[List["6", " ", SuperscriptBox["z", "3"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "4"]], "]"]]]]]]]]

 MathML Form

 sec - 1 ( z ) 2 π 2 4 - π z + 1 z 2 - π 6 z 3 + O ( 1 z 4 ) Proportional z 2 2 4 -1 -1 z -1 1 z 2 -1 -1 6 z 3 -1 O 1 z 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["ArcSec", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SuperscriptBox["\[Pi]", "2"], "4"], "-", FractionBox["\[Pi]", "z"], "+", FractionBox["1", SuperscriptBox["z", "2"]], "-", FractionBox["\[Pi]", RowBox[List["6", " ", SuperscriptBox["z", "3"]]]], "+", RowBox[List["SeriesData", "[", RowBox[List["z", ",", "\[Infinity]", ",", RowBox[List["{", "0", "}"]], ",", "0", ",", "4"]], "]"]]]]]]]]

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

 2007-05-02