EulerE[7, z] == z^7 - (7 z^6)/2 + (35 z^4)/4 - (21 z^2)/2 + 17/8

Cell[BoxData[RowBox[List[RowBox[List["EulerE", "[", RowBox[List["7", ",", "z"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["z", "7"], "-", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "6"]]], "2"], "+", FractionBox[RowBox[List["35", " ", SuperscriptBox["z", "4"]]], "4"], "-", FractionBox[RowBox[List["21", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox["17", "8"]]]]]]]

<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> E </mi> <annotation encoding='Mathematica'> TagBox[&quot;E&quot;, EulerE] </annotation> </semantics> <mn> 7 </mn> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msup> <mi> z </mi> <mn> 7 </mn> </msup> <mo> - </mo> <mfrac> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mn> 2 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 35 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mn> 4 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 21 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mn> 2 </mn> </mfrac> <mo> + </mo> <mfrac> <mn> 17 </mn> <mn> 8 </mn> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> EulerE </ci> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 35 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <cn type='integer'> 4 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 21 </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> <cn type='rational'> 17 <sep /> 8 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EulerE", "[", RowBox[List["7", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "7"], "-", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "6"]]], "2"], "+", FractionBox[RowBox[List["35", " ", SuperscriptBox["z", "4"]]], "4"], "-", FractionBox[RowBox[List["21", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox["17", "8"]]]]]]]

2001-10-29