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 ArcSech

 http://functions.wolfram.com/01.30.06.0104.01

 Input Form

 ArcSech[z]^2 \[Proportional] -(Pi^2/4) + Pi/z - 1/z^2 + Pi/(6 z^3) - \[Ellipsis] /; Abs[z] -> Infinity

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["ArcSech", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "2"], "4"]]], "+", FractionBox["\[Pi]", "z"], "-", FractionBox["1", SuperscriptBox["z", "2"]], "+", FractionBox["\[Pi]", RowBox[List["6", " ", SuperscriptBox["z", "3"]]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["Abs", "[", "z", "]"]]]], "\[Rule]", "\[Infinity]"]]]]

 MathML Form

 sech - 1 ( z ) 2 - π 2 4 + π z - 1 z 2 + π 6 z 3 - /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" "\[Rule]" Rule Condition Proportional z 2 -1 2 4 -1 z -1 -1 1 z 2 -1 6 z 3 -1 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["ArcSech", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "2"], "4"]]], "+", FractionBox["\[Pi]", "z"], "-", FractionBox["1", SuperscriptBox["z", "2"]], "+", FractionBox["\[Pi]", RowBox[List["6", " ", SuperscriptBox["z", "3"]]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["Abs", "[", "z", "]"]]]], "\[Rule]", "\[Infinity]"]]]]

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

 2007-05-02