Nearest neighbor recurrence relations for Meixner-Angelesco multiple orthogonal polynomials of the second kind
Abstract
This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogues of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties such as the raising operators, the Rodrigues-type formula, the explicit expression of the polynomials, and the nearest neighbor recurrence relations.
Keywords
Cite
@article{arxiv.2312.14989,
title = {Nearest neighbor recurrence relations for Meixner-Angelesco multiple orthogonal polynomials of the second kind},
author = {Jorge Arvesú Carballo and Alejandro J. Quintero Roba},
journal= {arXiv preprint arXiv:2312.14989},
year = {2023}
}
Comments
17 pages. This preprint will appear in Mathematics (ISSN 2227-7390). The results will be presented in a short talk at the Special Session on Orthogonal Polynomials, Functions and Special Applications, Biennial Congress of the Royal Spanish Mathematical Society, Pamplona, Spain, from January 22 to 26, 2024. arXiv admin note: text overlap with arXiv:2312.14317