Touchard polynomials and their applications
Diskretnaya Matematika, Tome 12 (2000) no. 3, pp. 60-71

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The polynomials considered in this paper generalise the Bell polynomials and were introduced by Touchard in order to study some cyclic permutations. For the Touchard polynomials, we give difference-differential equations and recurrence relations, as well as extensions of some well-known properties of the polynomials, their enumerative interpretations, and probabilistic applications, in particular, to analysing a single-server queueing system.
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O. V. Kuz'min; O. V. Leonova. Touchard polynomials and their applications. Diskretnaya Matematika, Tome 12 (2000) no. 3, pp. 60-71. http://geodesic.mathdoc.fr/item/DM_2000_12_3_a3/