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 BellB

 http://functions.wolfram.com/05.15.06.0012.01

 Input Form

 BellB[n, z] \[Proportional] z^n (1 + (n (n - 1))/(2 z) + O[1/z^2])

 Standard Form

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

 MathML Form

 B TagBox["B", BellB] n ( z ) z n ( 1 + n ( n - 1 ) 2 z + O ( 1 z 2 ) ) Proportional BellB n z z n 1 n n -1 2 z -1 O 1 z 2 -1 [/itex]

 Rule Form

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

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

 2007-05-02