From Krall discrete orthogonal polynomials to Krall polynomials

We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to t...

Descripción completa

Detalles Bibliográficos
Autor: Durán Guardeño, Antonio José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/182382
Acceso en línea:https://hdl.handle.net/11441/182382
https://doi.org/10.1016/j.jmaa.2017.01.063
Access Level:acceso abierto
Palabra clave:Krall polynomials
Classical polynomials
Classical discrete polynomials
Askey scheme
Descripción
Sumario:We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.