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http://functions.wolfram.com/05.14.03.0023.01
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BernoulliB[8, z] == z^8 - 4 z^7 + (14 z^6)/3 - (7 z^4)/3 + (2 z^2)/3 - 1/30
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Cell[BoxData[RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["8", ",", "z"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["z", "8"], "-", RowBox[List["4", " ", SuperscriptBox["z", "7"]]], "+", FractionBox[RowBox[List["14", " ", SuperscriptBox["z", "6"]]], "3"], "-", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "4"]]], "3"], "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "2"]]], "3"], "-", FractionBox["1", "30"]]]]]]]
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<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["B", BernoulliB] </annotation> </semantics> <mn> 8 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <msup> <mi> z </mi> <mn> 8 </mn> </msup> <mo> - </mo> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mfrac> <mrow> <mn> 14 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mn> 3 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mn> 3 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mn> 3 </mn> </mfrac> <mo> - </mo> <mfrac> <mn> 1 </mn> <mn> 30 </mn> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> BernoulliB </ci> <cn type='integer'> 8 </cn> <ci> z </ci> </apply> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 14 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 30 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BernoulliB", "[", RowBox[List["8", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "8"], "-", RowBox[List["4", " ", SuperscriptBox["z", "7"]]], "+", FractionBox[RowBox[List["14", " ", SuperscriptBox["z", "6"]]], "3"], "-", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "4"]]], "3"], "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "2"]]], "3"], "-", FractionBox["1", "30"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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