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 ArcTan

 http://functions.wolfram.com/01.14.06.0059.01

 Input Form

 ArcTan[z] \[Proportional] (Pi z)/(2 Sqrt[z^2]) - 1/z + 1/(3 z^3) - 1/(5 z^5) + O[1/z^7]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcTan", "[", "z", "]"]], "\[Proportional]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "z"]], RowBox[List["2", " ", SqrtBox[SuperscriptBox["z", "2"]]]]], "-", FractionBox["1", "z"], "+", FractionBox["1", RowBox[List["3", " ", SuperscriptBox["z", "3"]]]], "-", FractionBox["1", RowBox[List["5", " ", SuperscriptBox["z", "5"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "7"]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "z"]], RowBox[List["2", " ", SqrtBox[SuperscriptBox["z", "2"]]]]], "-", FractionBox["1", "z"], "+", FractionBox["1", RowBox[List["3", " ", SuperscriptBox["z", "3"]]]], "-", FractionBox["1", RowBox[List["5", " ", 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