English

Discrete semiclassical orthogonal polynomials of class one

Classical Analysis and ODEs 2016-01-20 v1

Abstract

We study the discrete semiclassical orthogonal polynomials of class s=1. By considering all possible solutions of the Pearson equation, we obtain five canonical families. We also consider limit relations between these and other families of orthogonal polynomials.

Keywords

Cite

@article{arxiv.1211.2005,
  title  = {Discrete semiclassical orthogonal polynomials of class one},
  author = {Diego Dominici and Francisco Marcellan},
  journal= {arXiv preprint arXiv:1211.2005},
  year   = {2016}
}

Comments

26 pages

R2 v1 2026-06-21T22:35:15.373Z