Matrix exceptional Laguerre polynomials
Classical Analysis and ODEs
2023-06-07 v1
Abstract
We 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 is discussed in detail. We give an example of matrix valued exceptional Laguerre polynomials of arbitrary size.
Keywords
Cite
@article{arxiv.2306.03223,
title = {Matrix exceptional Laguerre polynomials},
author = {Erik Koelink and Lucía Morey and Pablo Román},
journal= {arXiv preprint arXiv:2306.03223},
year = {2023}
}
Comments
28 pages, 1 figure