A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials
Classical Analysis and ODEs
2017-03-24 v1
Abstract
A high order linear -difference equation with polynomial coefficients having -Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in \cite{Lee} is corrected and obtained as a limiting case.
Cite
@article{arxiv.0910.4041,
title = {A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials},
author = {Jorge Arvesú Carballo and Chiara Esposito},
journal= {arXiv preprint arXiv:0910.4041},
year = {2017}
}