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 BernoulliB

 http://functions.wolfram.com/04.13.26.0007.01

 Input Form

 BernoulliB[n] == (-1)^(n - 1) n Zeta[1 - n, 0] /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BernoulliB", "[", "n", "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["n", "-", "1"]]], "n", " ", RowBox[List["Zeta", "[", RowBox[List[RowBox[List["1", "-", "n"]], ",", "0"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 B TagBox["B", BernoulliB] n ( - 1 ) n - 1 n ζ ( 1 - n , 0 ) TagBox[RowBox[List["\[Zeta]", "(", RowBox[List[TagBox[RowBox[List["1", "-", "n"]], Rule[Editable, True]], ",", TagBox["0", Rule[Editable, True]]]], ")"]], InterpretTemplate[Function[List[\$CellContext`a, \$CellContext`b], Zeta[\$CellContext`a, \$CellContext`b]]]] /; n + TagBox[SuperscriptBox["\[DoubleStruckCapitalN]", "+"], Function[Integers]] Condition BernoulliB n -1 n -1 n Zeta 1 -1 n 0 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BernoulliB", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["n", "-", "1"]]], " ", "n", " ", RowBox[List["Zeta", "[", RowBox[List[RowBox[List["1", "-", "n"]], ",", "0"]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29