On the functional equation for classical orthogonal polynomials on lattices

被引：11

作者：

Castillo, K. ^{[1
]}

Mbouna, D. ^{[1
]}

Petronilho, J. ^{[1
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 515卷 / 01期

关键词：

Functional equation; Regular functional; Classical orthogonal polynomials; Lattices; Racah polynomials; Askey-Wilson polynomials;

D O I：

10.1016/j.jmaa.2022.126390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：27

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