$(p, q)$-analogues of the generalized Touchard polynomials and Stirling numbers

Lahcen Oussi

doi:10.1016/j.indag.2021.12.009

paper

$(p, q)$ -analogues of the generalized Touchard polynomials and Stirling numbers

arXiv:2106.12935 · doi:10.1016/j.indag.2021.12.009

Abstract

In this paper we introduce a $(p, q)$ -deformed analogues of the generalized Touchard polynomials and Stirling numbers, the post-quantum analogues of the $q$ -deformed generalized Touchard polynomials and Stirling numbers. The connection between these deformations is established. A recurrence relation for the $(p, q)$ -deformed generalized Touchard polynomials is expounded, elucidating a $(p, q)$ -deformation of Spivey's relation.

18 pages

(p,q)-analogues of the generalized Touchard polynomials and Stirling numbers

Abstract

References in corpus (2)

$(p, q)$ -analogues of the generalized Touchard polynomials and Stirling numbers