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arXiv · 2402.00768

Multiple q-Kravchuk polynomials

J. Arvesú·A. M. Ramírez-Aberasturis
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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.

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BibTeXRIS

J. Arvesú, A. M. Ramírez-Aberasturis. 2024-02-01. Multiple q-Kravchuk polynomials. https://doi.org/10.1080/10652469.2020.1830990

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