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variants of this functions
Zeta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s] > Representations through more general functions > Through other functions





http://functions.wolfram.com/10.01.26.0008.01









  


  










Input Form





Zeta[s] == PolyLog[s - 1, 1, 1]










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Zeta", "[", "s", "]"]], "\[Equal]", RowBox[List["PolyLog", "[", RowBox[List[RowBox[List["s", "-", "1"]], ",", "1", ",", "1"]], "]"]]]]]]










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> <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> &#10869; </mo> <mrow> <mstyle scriptlevel='0'> <msubsup> <semantics> <mi> S </mi> <annotation encoding='Mathematica'> TagBox[&quot;S&quot;, StirlingS1] </annotation> </semantics> <mrow> <mi> s </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mn> 1 </mn> </msubsup> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mn> 1 </mn> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Zeta </ci> <ci> s </ci> </apply> <apply> <apply> <power /> <apply> <ci> Subscript </ci> <apply> <ci> StirlingS1 </ci> <ci> S </ci> </apply> <apply> <plus /> <ci> s </ci> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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










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





2001-10-29