Difference between revisions of "Stieltjes constants"
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(Created page with "The Stieltjes constants are defined by $$\gamma_n = \displaystyle\lim_{m \rightarrow \infty} \left[ \displaystyle\sum_{k=1}^m \dfrac{\log^n(k)}{k} - \dfrac{\log^{n+1}(m)}{n+1}...") |
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The Stieltjes constants are defined by | The Stieltjes constants are defined by | ||
$$\gamma_n = \displaystyle\lim_{m \rightarrow \infty} \left[ \displaystyle\sum_{k=1}^m \dfrac{\log^n(k)}{k} - \dfrac{\log^{n+1}(m)}{n+1} \right]$$ | $$\gamma_n = \displaystyle\lim_{m \rightarrow \infty} \left[ \displaystyle\sum_{k=1}^m \dfrac{\log^n(k)}{k} - \dfrac{\log^{n+1}(m)}{n+1} \right]$$ | ||
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| + | =Properties= | ||
| + | [[Laurent series of the Riemann zeta function]]<br /> | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 00:53, 9 December 2016
The Stieltjes constants are defined by $$\gamma_n = \displaystyle\lim_{m \rightarrow \infty} \left[ \displaystyle\sum_{k=1}^m \dfrac{\log^n(k)}{k} - \dfrac{\log^{n+1}(m)}{n+1} \right]$$
