English

Discrete semiclassical orthogonal polynomials of class 2

Classical Analysis and ODEs 2019-04-29 v1

Abstract

In this contribution, discrete semiclassical orthogonal polynomials of class s2s\leq2 are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class. We also consider limit relations between these and other families of orthogonal polynomials.

Keywords

Cite

@article{arxiv.1904.11958,
  title  = {Discrete semiclassical orthogonal polynomials of class 2},
  author = {Diego Dominici and Francisco Marcellán Español},
  journal= {arXiv preprint arXiv:1904.11958},
  year   = {2019}
}

Comments

67 pages

R2 v1 2026-06-23T08:50:45.977Z