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variants of this functions
BernoulliB






Mathematica Notation

Traditional Notation









Polynomials > BernoulliB[n,z] > Specific values > Specialized values > For fixed z





http://functions.wolfram.com/05.14.03.0018.01









  


  










Input Form





BernoulliB[3, z] == z^3 - (3 z^2)/2 + z/2










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["3", ",", "z"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["z", "3"], "-", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox["z", "2"]]]]]]]










MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <semantics> <mi> B </mi> <annotation encoding='Mathematica'> TagBox[&quot;B&quot;, BernoulliB] </annotation> </semantics> <mn> 3 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> - </mo> <mfrac> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mn> 2 </mn> </mfrac> <mo> + </mo> <mfrac> <mi> z </mi> <mn> 2 </mn> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> BernoulliB </ci> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <ci> z </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BernoulliB", "[", RowBox[List["3", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "3"], "-", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox["z", "2"]]]]]]]










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





2001-10-29