Multiple q-Kravchuk polynomials
arXiv:2402.00768 · doi:10.1080/10652469.2020.1830990
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.
This is a 2020 preprint (before acceptance) of the 2021 article published in Integral Transformations and Special Functions