In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.
@article{bwmeta1.element.doi-10_1515_math-2016-0082,
author = {Taekyun Kim and Orli Herscovici and Toufik Mansour and Seog-Hoon Rim},
title = {Differential equations forp,q-Touchard polynomials},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {908-912},
zbl = {06662939},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0082}
}
Taekyun Kim; Orli Herscovici; Toufik Mansour; Seog-Hoon Rim. Differential equations forp,q-Touchard polynomials. Open Mathematics, Tome 14 (2016) pp. 908-912. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0082/