English

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

Combinatorics 2022-02-22 v2

Abstract

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

Keywords

Cite

@article{arxiv.2106.12935,
  title  = {$(p, q)$-analogues of the generalized Touchard polynomials and Stirling numbers},
  author = {Lahcen Oussi},
  journal= {arXiv preprint arXiv:2106.12935},
  year   = {2022}
}

Comments

18 pages