Touchard polynomials and their applications
Diskretnaya Matematika, Tome 12 (2000) no. 3, pp. 60-71
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{DM_2000_12_3_a3,
author = {O. V. Kuz'min and O. V. Leonova},
title = {Touchard polynomials and their applications},
journal = {Diskretnaya Matematika},
pages = {60--71},
publisher = {mathdoc},
volume = {12},
number = {3},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2000_12_3_a3/}
}
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/