Matrix exceptional Laguerre polynomials

Author:

Koelink E.1,Morey L.2,Román P.2ORCID

Affiliation:

1. IMAPP Radboud Universiteit Nijmegen The Netherlands

2. FaMAF‐CIEM Universidad Nacional de Córdoba Cordoba Argentina

Abstract

AbstractWe give an analog of exceptional polynomials in the matrix‐valued setting by considering suitable factorizations of a given second‐order differential operator and performing Darboux transformations. Orthogonality and density of the exceptional sequence are discussed in detail. We give an example of matrix‐valued exceptional Laguerre polynomials of arbitrary size.

Funder

Erasmus+

Secretaria de Ciencia y Tecnología - Universidad Nacional de Córdoba

Publisher

Wiley

Subject

Applied Mathematics

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