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Mathematica Notation

Traditional Notation

Zeta Functions and Polylogarithms > Zeta[s,a] > Specific values > Specialized values > For fixed s > For zeta(s,a)




Input Form

Zeta[s, -2] == 1 + 2^(-s) + Zeta[s]

Standard Form

Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List["Zeta", "[", RowBox[List["s", ",", RowBox[List["-", "2"]]]], "]"]], "\[Equal]", RowBox[List["1", "+", SuperscriptBox["2", RowBox[List["-", "s"]]], "+", RowBox[List["Zeta", "[", "s", "]"]]]]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mi> &#950; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> s </mi> <mo> , </mo> <mrow> <mo> - </mo> <mn> 2 </mn> </mrow> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Zeta]&quot;, &quot;(&quot;, RowBox[List[TagBox[&quot;s&quot;, Rule[Editable, True]], &quot;,&quot;, TagBox[RowBox[List[&quot;-&quot;, &quot;2&quot;]], Rule[Editable, True]]]], &quot;)&quot;]], InterpretTemplate[Function[List[$CellContext`e1, $CellContext`e2], Zeta[$CellContext`e1, $CellContext`e2]]]] </annotation> </semantics> <mo> &#10869; </mo> <mrow> <semantics> <mrow> <mi> &#950; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> s </mi> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Zeta]&quot;, &quot;(&quot;, TagBox[&quot;s&quot;, Rule[Editable, True]], &quot;)&quot;]], InterpretTemplate[Function[$CellContext`e, Zeta[$CellContext`e]]]] </annotation> </semantics> <mo> + </mo> <msup> <mn> 2 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> + </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Zeta </ci> <ci> s </ci> <cn type='integer'> -2 </cn> </apply> <apply> <plus /> <apply> <ci> Zeta </ci> <ci> s </ci> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> s </ci> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Zeta", "[", RowBox[List["s_", ",", RowBox[List["-", "2"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "+", SuperscriptBox["2", RowBox[List["-", "s"]]], "+", RowBox[List["Zeta", "[", "s", "]"]]]]]]]]

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