arXiv:2102.00033 Abstract | arXiv Analytics

arXiv:2102.00033 [math.CA]Abstract References Reviews Resources

On the functional equation for classical orthogonal polynomials on lattices

Published 2021-01-29Version 1

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.

Categories: math.CA

Subjects: 42C05, 33C45

Keywords: classical orthogonal polynomials, functional rodrigues formula, sufficient conditions, recurrence coefficients, functional equation appearing

Related articles: Most relevant | Search more

arXiv:2311.05636 [math.CA] (Published 2023-10-26)

On classical orthogonal polynomials on bi-lattices

K. Castillo, G. Filipuk, D. Mbouna

arXiv:0901.2639 [math.CA] (Published 2009-01-17, updated 2010-11-16)

A note on parameter derivatives of classical orthogonal polynomials

Radoslaw Szmytkowski

arXiv:2501.12413 [math.CA] (Published 2025-01-18)

The Laguerre constellation of classical orthogonal Polynomials