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; }

 Power

 http://functions.wolfram.com/01.02.06.0067.01

 Input Form

 (1 + z)^a \[Proportional] z^a (1 + a/z - ((1 - a) a)/(2 z^2) + O[1/z^3])

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], "a"], "\[Proportional]", RowBox[List[SuperscriptBox["z", "a"], RowBox[List["(", RowBox[List["1", "+", FractionBox["a", "z"], "-", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "a"]], ")"]], " ", "a"]], RowBox[List["2", " ", SuperscriptBox["z", "2"]]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "3"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 ( 1 + z ) a z a ( 1 + a z - ( 1 - a ) a 2 z 2 + O ( 1 z 3 ) ) Proportional 1 z a z a 1 a z -1 -1 1 -1 a a 2 z 2 -1 O 1 z 3 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z_"]], ")"]], "a_"], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "a"], " ", RowBox[List["(", RowBox[List["1", "+", FractionBox["a", "z"], "-", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "a"]], ")"]], " ", "a"]], RowBox[List["2", " ", SuperscriptBox["z", "2"]]]], "+", RowBox[List["SeriesData", "[", RowBox[List["z", ",", "\[Infinity]", ",", RowBox[List["{", "0", "}"]], ",", "0", ",", "3"]], "]"]]]], ")"]]]]]]]]

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

 2007-05-02