Asymptotics for some $q$-hypergeometric polynomials
Classical Analysis and ODEs
2025-01-14 v1
Abstract
We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some --hypergeometric polynomials. Some consequences about the asymptotic behavior of the zeros of these polynomials are discussed. We illustrate the results with numerical examples.
Cite
@article{arxiv.2501.07138,
title = {Asymptotics for some $q$-hypergeometric polynomials},
author = {Juan F. Mañas-Mañas and Juan J. Moreno-Balcázar},
journal= {arXiv preprint arXiv:2501.07138},
year = {2025}
}