On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3

The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential lattice x(s)= c 1 qs +c 3 and study some of their properties (differentiati...

Full description

Bibliographic Details
Authors: Álvarez Nodarse, Renato, Arvesú Carballo, Jorge
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:1999
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41731
Online Access:http://hdl.handle.net/11441/41731
https://doi.org/10.1080/10652469908819236
Access Level:Open access
Keyword:Discrete polynomials
Q-polynomials
Basic hypergeometric series
Non-uniform lattices
Q-Charlier polynomials
id ES_f80d6d70e27d45c5a44efbda3d38f293
oai_identifier_str oai:idus.us.es:11441/41731
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3Álvarez Nodarse, RenatoArvesú Carballo, JorgeDiscrete polynomialsQ-polynomialsBasic hypergeometric seriesNon-uniform latticesQ-Charlier polynomialsThe main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential lattice x(s)= c 1 qs +c 3 and study some of their properties (differentiation formulas, structure relations, represntation in terms of hypergeometric and basic hypergeometric functions, etc). Special emphasis is given to q-analogues of the Charlier orthogonal polynomials. For these polynomials (Charlier) we compute the main data, i.e., the coefficients of the three-term recurrence relation, structure relation, the square of the norm, etc, in the exponential lattices, respectively.Dirección General de Enseñanza SuperiorUnión EuropeaTaylor & FrancisAnálisis MatemáticoDirección General de Enseñanza Superior. EspañaEuropean Union (UE)1999info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41731https://doi.org/10.1080/10652469908819236reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésIntegral Transforms and Special Functions, 8 (3-4), 299-324.PB 96-0120-C03-01info:eu-repo/grantAgreement/EC/INTAS-93-0219/http://dx.doi.org/10.1080/10652469908819236info:eu-repo/semantics/openAccessoai:idus.us.es:11441/417312026-06-17T12:51:07Z
dc.title.none.fl_str_mv On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
title On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
spellingShingle On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
Álvarez Nodarse, Renato
Discrete polynomials
Q-polynomials
Basic hypergeometric series
Non-uniform lattices
Q-Charlier polynomials
title_short On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
title_full On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
title_fullStr On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
title_full_unstemmed On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
title_sort On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
dc.creator.none.fl_str_mv Álvarez Nodarse, Renato
Arvesú Carballo, Jorge
author Álvarez Nodarse, Renato
author_facet Álvarez Nodarse, Renato
Arvesú Carballo, Jorge
author_role author
author2 Arvesú Carballo, Jorge
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
Dirección General de Enseñanza Superior. España
European Union (UE)
dc.subject.none.fl_str_mv Discrete polynomials
Q-polynomials
Basic hypergeometric series
Non-uniform lattices
Q-Charlier polynomials
topic Discrete polynomials
Q-polynomials
Basic hypergeometric series
Non-uniform lattices
Q-Charlier polynomials
description The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential lattice x(s)= c 1 qs +c 3 and study some of their properties (differentiation formulas, structure relations, represntation in terms of hypergeometric and basic hypergeometric functions, etc). Special emphasis is given to q-analogues of the Charlier orthogonal polynomials. For these polynomials (Charlier) we compute the main data, i.e., the coefficients of the three-term recurrence relation, structure relation, the square of the norm, etc, in the exponential lattices, respectively.
publishDate 1999
dc.date.none.fl_str_mv 1999
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/11441/41731
https://doi.org/10.1080/10652469908819236
url http://hdl.handle.net/11441/41731
https://doi.org/10.1080/10652469908819236
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Integral Transforms and Special Functions, 8 (3-4), 299-324.
PB 96-0120-C03-01
info:eu-repo/grantAgreement/EC/INTAS-93-0219/
http://dx.doi.org/10.1080/10652469908819236
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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
_version_ 1869424966083018753
score 15,301603

Similar Items