English

New results on the associated Meixner, Charlier, Laguerre, and Krawtchouk polynomials

Classical Analysis and ODEs 2023-06-09 v1

Abstract

We give new explicit representations as well as new generating functions for the associated Meixner, Charlier, Laguerre, and Krawtchouk polynomials. The obtained results are then used to derive new generating functions and convolution-type formulas of the corresponding classical polynomials. Some consequences of our results are also mentioned.

Keywords

Cite

@article{arxiv.2306.05371,
  title  = {New results on the associated Meixner, Charlier, Laguerre, and Krawtchouk polynomials},
  author = {Khalid Ahbli},
  journal= {arXiv preprint arXiv:2306.05371},
  year   = {2023}
}

Comments

14 pages. arXiv admin note: substantial text overlap with arXiv:2103.08367