Multiple q-Kravchuk polynomials
Classical Analysis and ODEs
2024-02-02 v1
Abstract
We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the binomial distribution. The lowering and raising operators as well as the Rodrigues formula for these polynomials are obtained. The difference equation of order r+1 is studied. The connection via limit relation between four types of Kravchuk polynomials is discussed.
Cite
@article{arxiv.2402.00768,
title = {Multiple q-Kravchuk polynomials},
author = {J. Arvesú and A. M. Ramírez-Aberasturis},
journal= {arXiv preprint arXiv:2402.00768},
year = {2024}
}
Comments
This is a 2020 preprint (before acceptance) of the 2021 article published in Integral Transformations and Special Functions