On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials
Classical Analysis and ODEs
2021-06-28 v1
Abstract
The q-Hermite I-Sobolev type polynomials of higher order are consider for their study. Their hypergeometric representation is provided together with further useful properties such as several structure relations which give rise to a three-term recurrence relation of their elements. Two different q-difference equations satisfied by the q-Hermite I-Sobolev type polynomials of higher order are also established.
Cite
@article{arxiv.2106.13726,
title = {On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials},
author = {Carlos Hermoso and Edmundo J. Huertas and Alberto Lastra and Anier Soria-Lorente},
journal= {arXiv preprint arXiv:2106.13726},
year = {2021}
}
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