On the limit of non-standard q-Racah polynomials

The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality properties and the three-term recurrence relations remain valid.

Detalles Bibliográficos
Autores: Álvarez Nodarse, Renato, Sevinik Adigüzel, Rezan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41746
Acceso en línea:http://hdl.handle.net/11441/41746
https://doi.org/10.1016/j.cam.2013.08.026
Access Level:acceso abierto
Palabra clave:q-Racah polynomials
big q-Jacobi polynomials
dual q-Hahn polynomials
q-Hahn polynomials
limit relations
Descripción
Sumario:The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality properties and the three-term recurrence relations remain valid.