Characterizations of classical orthogonal polynomials on quadratic lattices
Classical Analysis and ODEs
2016-04-04 v1
Abstract
This paper is devoted to characterizations classical orthogonal polynomials on quadratic lattices by using a matrix approach. In this form we recover the Hahn, Geronimus, Tricomi and Bochner type characterizations of classical orthogonal polynomials on quadratic lattices. Moreover a new characterization is also presented. From the Bochner type characterization we derive the three-term recurrence relation coefficients for these polynomials.
Keywords
Cite
@article{arxiv.1604.00186,
title = {Characterizations of classical orthogonal polynomials on quadratic lattices},
author = {M. Njinkeu Sandjon and A. Branquinho and M. Foupouagnigni and I. Area},
journal= {arXiv preprint arXiv:1604.00186},
year = {2016}
}