Combinatorial Proofs of Ismail's Identities on Al-Salam--Chirara Polynomials
Number Theory
2026-01-06 v1
Abstract
We present new proofs of two identities arising in the work of Mourad Ismail using partition theoretic generating function interpretations.
Keywords
Cite
@article{arxiv.2601.00983,
title = {Combinatorial Proofs of Ismail's Identities on Al-Salam--Chirara Polynomials},
author = {Ali K. Uncu},
journal= {arXiv preprint arXiv:2601.00983},
year = {2026}
}
Comments
Happy Birthday Mourad! 13 pages. Accepted at the Arabian Journal of Mathematics for Mourad Ismail's 80th birthday special collection