第二类 Meixner-Angelesco 多重正交多项式的最近邻递推关系
经典分析与常微分方程
2023-12-27 v1 复变函数
摘要
本文研究了一族新的 Angelesco 多重正交多项式，它们关于权函数系统共享正交性条件，这些权函数是带腿星型集合上 Pascal 分布的复类似物。重点在于其代数性质，如升算子、Rodrigues 型公式、多项式的显式表达式以及最近邻递推关系。
引用
@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}
}
备注
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