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/