Difference between revisions of "Touchard polynomial"
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(Created page with "The Touchard polynomials $T_n(x)$ are defined by $$T_n(x)=\displaystyle\sum_{k=0}^n S(n,k)x^k,$$ where $S(n,k)$ denotes the Stirling numbers of the second kind.") |
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$$T_n(x)=\displaystyle\sum_{k=0}^n S(n,k)x^k,$$ | $$T_n(x)=\displaystyle\sum_{k=0}^n S(n,k)x^k,$$ | ||
where $S(n,k)$ denotes the [[Stirling numbers of the second kind]]. | where $S(n,k)$ denotes the [[Stirling numbers of the second kind]]. | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 18:43, 24 May 2016
The Touchard polynomials $T_n(x)$ are defined by $$T_n(x)=\displaystyle\sum_{k=0}^n S(n,k)x^k,$$ where $S(n,k)$ denotes the Stirling numbers of the second kind.
