English

Discrete orthogonal polynomials and difference equations of several variables

Classical Analysis and ODEs 2012-04-25 v3

Abstract

The goal of this work is to characterize all second order difference operators of several variables that have discrete orthogonal polynomials as eigenfunctions. Under some mild assumptions, we give a complete solution of the problem.

Keywords

Cite

@article{arxiv.math/0508039,
  title  = {Discrete orthogonal polynomials and difference equations of several variables},
  author = {Plamen Iliev and Yuan Xu},
  journal= {arXiv preprint arXiv:math/0508039},
  year   = {2012}
}

Comments

minor typos corrected