INVESTIGADORES
ROMAN Pablo Manuel
artículos
Título:
Matrix exceptional Laguerre polynomials
Autor/es:
KOELINK, E.; MOREY, L.; ROMÁN, P.
Revista:
STUDIES IN APPLIED MATHEMATICS
Editorial:
WILEY-BLACKWELL PUBLISHING, INC
Referencias:
Año: 2024 vol. 152 p. 778 - 809
ISSN:
0022-2526
Resumen:
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 are discussed in detail. We give an example of matrix-valued exceptional Laguerre polynomials of arbitrary size.
