html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcSech

 http://functions.wolfram.com/01.30.06.0094.01

 Input Form

 ArcSech[z] \[Proportional] (-I) (Pi/2 - 1/z - 1/(6 z^3) - 3/(40 z^5) + O[1/z^7])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", FractionBox["1", "z"], "-", FractionBox["1", RowBox[List["6", SuperscriptBox["z", "3"]]]], "-", FractionBox["3", RowBox[List["40", SuperscriptBox["z", "5"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "7"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 sech - 1 ( z ) - ( π 2 - 1 z - 1 6 z 3 - 3 40 z 5 + O ( 1 z 7 ) ) Proportional z -1 2 -1 -1 1 z -1 -1 1 6 z 3 -1 -1 3 40 z 5 -1 O 1 z 7 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", FractionBox["1", "z"], "-", FractionBox["1", RowBox[List["6", " ", SuperscriptBox["z", "3"]]]], "-", FractionBox["3", RowBox[List["40", " ", SuperscriptBox["z", "5"]]]], "+", RowBox[List["SeriesData", "[", RowBox[List["z", ",", "\[Infinity]", ",", RowBox[List["{", "0", "}"]], ",", "0", ",", "7"]], "]"]]]], ")"]]]]]]]]

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

 2007-05-02

© 1998-2013 Wolfram Research, Inc.