Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications
Mathematical Physics
2021-03-16 v1 math.MP
Abstract
We give a closed-form expression for the associated Meixner polynomials from which we derive closed-form expressions for the associated Charlier and Laguerre polynomials by a limit procedure. These formulas are then used to derive generating functions of these polynomials. Also, we investigate the Mehler-Heine type asymptotic formulas for the associated Meixner and Charlier polynomials. Some applications and consequences of our results are also mentioned.
Keywords
Cite
@article{arxiv.2103.08367,
title = {Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications},
author = {Khalid Ahbli},
journal= {arXiv preprint arXiv:2103.08367},
year = {2021}
}