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 BernoulliB

 http://functions.wolfram.com/05.14.06.0009.02

 Input Form

 BernoulliB[n, z] \[Proportional] z^n (1 - n/(2 z) + O[1/z^2]) /; (Abs[z] -> Infinity)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[SuperscriptBox["z", "n"], RowBox[List["(", RowBox[List["1", "-", FractionBox["n", RowBox[List["2", "z"]]], "+", RowBox[List["O", "[", FractionBox["1", SuperscriptBox["z", "2"]], "]"]]]], ")"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "\[Rule]", "\[Infinity]"]], ")"]]]]]]

 MathML Form

 B TagBox["B", BernoulliB] n ( z ) z n ( 1 - n 2 z + O ( 1 z 2 ) ) /; ( "\[LeftBracketingBar]" z "\[RightBracketingBar]" "\[Rule]" ) Condition Proportional BernoulliB n z z n 1 -1 n 2 z -1 O 1 z 2 -1 Rule z [/itex]

 Rule Form

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

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

 2001-10-29