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 BernoulliB

 http://functions.wolfram.com/05.14.16.0004.01

 Input Form

 BernoulliB[n, -z] == (-1)^n (BernoulliB[n, z] + n z^(n - 1))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n", ",", RowBox[List["-", "z"]]]], "]"]], "\[Equal]", " ", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], RowBox[List["(", RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n", ",", "z"]], "]"]], "+", RowBox[List["n", " ", SuperscriptBox["z", RowBox[List["n", "-", "1"]]]]]]], ")"]]]]]]]]

 MathML Form

 B TagBox["B", BernoulliB] n ( - z ) ( - 1 ) n ( B TagBox["B", BernoulliB] n ( z ) + n z n - 1 ) BernoulliB n -1 z -1 n BernoulliB n z n z n -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BernoulliB", "[", RowBox[List["n_", ",", RowBox[List["-", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", RowBox[List["(", RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n", ",", "z"]], "]"]], "+", RowBox[List["n", " ", SuperscriptBox["z", RowBox[List["n", "-", "1"]]]]]]], ")"]]]]]]]]

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

 2001-10-29