Abs[StieltjesGamma[n]] < (2 (n - 1)!)/Pi^n

Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["StieltjesGamma", "[", "n", "]"]], "]"]], "<", FractionBox[RowBox[List["2", RowBox[List[RowBox[List["(", RowBox[List["n", "-", "1"]], ")"]], "!"]]]], SuperscriptBox["\[Pi]", "n"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <msub> <semantics> <mi> &#947; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Gamma]&quot;, StieltjesGamma] </annotation> </semantics> <mi> n </mi> </msub> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mo> &lt; </mo> <mfrac> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ! </mo> </mrow> </mrow> <msup> <mi> &#960; </mi> <mi> n </mi> </msup> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <lt /> <apply> <abs /> <apply> <ci> StieltjesGamma </ci> <ci> n </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <factorial /> <apply> <plus /> <ci> n </ci> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <power /> <apply> <power /> <pi /> <ci> n </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["StieltjesGamma", "[", "n", "]"]], "]"]], "<", FractionBox[RowBox[List["2", " ", RowBox[List[RowBox[List["(", RowBox[List["n", "-", "1"]], ")"]], "!"]]]], SuperscriptBox["\[Pi]", "n"]]]]]]

2001-10-29