Recurrence relations for exceptional Hermite polynomials.

The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in x.

Detalles Bibliográficos
Autores: Gómez-Ullate Otaiza, David, Kasman, Alex, Kuijlaars, Arno B. J., Milson, Robert
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24417
Acceso en línea:https://hdl.handle.net/20.500.14352/24417
Access Level:acceso abierto
Palabra clave:51-73
Exceptional orthogonal polynomials
Bispectral Darboux transformations.
Física (Física)
22 Física
Descripción
Sumario:The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in x.