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Glaisher




Mathematica Notation

Traditional Notation









Constants > Glaisher > Representations through more general functions > Through other functions





http://functions.wolfram.com/02.08.26.0004.01









  


  








Input Form





Glaisher == E^(EulerGamma/12 - Derivative[1][Zeta][2]/(2 Pi^2)) (2 Pi)^(1/12)








Standard Form





Cell[BoxData[RowBox[List["Glaisher", "\[Equal]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["EulerGamma", "12"], "-", FractionBox[RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", "2", "]"]], RowBox[List["2", " ", SuperscriptBox["\[Pi]", "2"]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["2", " ", "\[Pi]"]], ")"]], RowBox[List["1", "/", "12"]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mi> A </mi> <annotation encoding='Mathematica'> TagBox[&quot;A&quot;, Function[List[], Glaisher]] </annotation> </semantics> <mo> &#10869; </mo> <mrow> <msup> <mi> &#8519; </mi> <mrow> <mfrac> <semantics> <mi> &#8509; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubledGamma]&quot;, Function[List[], EulerGamma]] </annotation> </semantics> <mn> 12 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <msup> <mi> &#950; </mi> <mo> &#8242; </mo> </msup> <mo> ( </mo> <mn> 2 </mn> <mo> ) </mo> </mrow> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <msup> <mi> &#960; </mi> <mn> 2 </mn> </msup> </mrow> </mfrac> </mrow> </msup> <mo> &#8290; </mo> <mroot> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> </mrow> <mn> 12 </mn> </mroot> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <ci> Glaisher </ci> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <plus /> <apply> <times /> <eulergamma /> <apply> <power /> <cn type='integer'> 12 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <ci> D </ci> <apply> <ci> Zeta </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='rational'> 1 <sep /> 12 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "Glaisher", "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["EulerGamma", "12"], "-", FractionBox[RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", "2", "]"]], RowBox[List["2", " ", SuperscriptBox["\[Pi]", "2"]]]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["2", " ", "\[Pi]"]], ")"]], RowBox[List["1", "/", "12"]]]]]]]]]


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





2007-05-02