On the functional equation for classical orthogonal polynomials on lattices
Classical Analysis and ODEs
2021-02-02 v1
Abstract
Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented.
Cite
@article{arxiv.2102.00033,
title = {On the functional equation for classical orthogonal polynomials on lattices},
author = {K. Castillo and D. Mbouna and J. Petronilho},
journal= {arXiv preprint arXiv:2102.00033},
year = {2021}
}