Some limit relations in the A1 tableau of Dunkl-Cherednik operators

In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical polynomials (q-Rogers polynomials), ultraspherical polynomials (Gegenba...

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Detalles Bibliográficos
Autor: Álvarez Nodarse, Renato
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2003
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41721
Acceso en línea:http://hdl.handle.net/11441/41721
https://doi.org/10.1016/S0019-3577(03)90047-4
Access Level:acceso abierto
Palabra clave:q-polynomials
root systems
Dunkl-Cherednik operators
hypergeometric functions
basic hypergeometric series
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spelling Some limit relations in the A1 tableau of Dunkl-Cherednik operatorsÁlvarez Nodarse, Renatoq-polynomialsroot systemsDunkl-Cherednik operatorshypergeometric functionsbasic hypergeometric seriesIn this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical polynomials (q-Rogers polynomials), ultraspherical polynomials (Gegenbauer polynomials), q-Hermite and Hermite polynomials.Ministerio de Ciencia y TecnologíaJunta de AndalucíaElsevierAnálisis MatemáticoMinisterio de Ciencia y Tecnología (MCYT). EspañaJunta de Andalucía2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41721https://doi.org/10.1016/S0019-3577(03)90047-4reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésIndagationes Mathematicae, 14 (3-4), 293-308.BFM-2000-0206-C04-02FQM-262http://dx.doi.org/10.1016/S0019-3577(03)90047-4info:eu-repo/semantics/openAccessoai:idus.us.es:11441/417212026-06-17T12:51:07Z
dc.title.none.fl_str_mv Some limit relations in the A1 tableau of Dunkl-Cherednik operators
title Some limit relations in the A1 tableau of Dunkl-Cherednik operators
spellingShingle Some limit relations in the A1 tableau of Dunkl-Cherednik operators
Álvarez Nodarse, Renato
q-polynomials
root systems
Dunkl-Cherednik operators
hypergeometric functions
basic hypergeometric series
title_short Some limit relations in the A1 tableau of Dunkl-Cherednik operators
title_full Some limit relations in the A1 tableau of Dunkl-Cherednik operators
title_fullStr Some limit relations in the A1 tableau of Dunkl-Cherednik operators
title_full_unstemmed Some limit relations in the A1 tableau of Dunkl-Cherednik operators
title_sort Some limit relations in the A1 tableau of Dunkl-Cherednik operators
dc.creator.none.fl_str_mv Álvarez Nodarse, Renato
author Álvarez Nodarse, Renato
author_facet Álvarez Nodarse, Renato
author_role author
dc.contributor.none.fl_str_mv Análisis Matemático
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
dc.subject.none.fl_str_mv q-polynomials
root systems
Dunkl-Cherednik operators
hypergeometric functions
basic hypergeometric series
topic q-polynomials
root systems
Dunkl-Cherednik operators
hypergeometric functions
basic hypergeometric series
description In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical polynomials (q-Rogers polynomials), ultraspherical polynomials (Gegenbauer polynomials), q-Hermite and Hermite polynomials.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41721
https://doi.org/10.1016/S0019-3577(03)90047-4
url http://hdl.handle.net/11441/41721
https://doi.org/10.1016/S0019-3577(03)90047-4
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Indagationes Mathematicae, 14 (3-4), 293-308.
BFM-2000-0206-C04-02
FQM-262
http://dx.doi.org/10.1016/S0019-3577(03)90047-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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