On the properties of special functions on the linear-type lattices

Álvarez Nodarse, Renato; Santos Cardoso, José Luis dos

doi:10.1016/j.jmaa.2013.03.058

Artículo

dc.creator	Álvarez Nodarse, Renato	es
dc.creator	Santos Cardoso, José Luis dos	es
dc.date.accessioned	2016-06-01T07:27:14Z
dc.date.available	2016-06-01T07:27:14Z
dc.date.issued	2013-09-01
dc.identifier.citation	Álvarez Nodarse, R. y Santos Cardoso, J.L.d. (2013). On the properties of special functions on the linear-type lattices. Journal of Mathematical Analysis and Applications, 405 (1), 271-285.
dc.identifier.issn	1096-0813	es
dc.identifier.issn	0022-247X	es
dc.identifier.uri	http://hdl.handle.net/11441/41750
dc.description.abstract	We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of lattices: the linear type lattices. In particular, using the integral representation of the solutions we obtain several difference-recurrence relations for such functions. Finally, applications to q-classical polynomials are given.	es
dc.description.sponsorship	Dirección General de Enseñanza Superior	es
dc.description.sponsorship	Junta de Andalucía	es
dc.description.sponsorship	University of Coimbra	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 405 (1), 271-285.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	q-hypergeometric functions	es
dc.subject	difference equations	es
dc.subject	recurrence relations	es
dc.subject	qpolynomials	es
dc.title	On the properties of special functions on the linear-type lattices	es
dc.type	info:eu-repo/semantics/article	es
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	MTM2009-12740-C03	es
dc.relation.projectID	FQM-0262	es
dc.relation.projectID	CM-UTAD	es
dc.relation.projectID	P09-FQM-4643
dc.relation.publisherversion	http://dx.doi.org/10.1016/j.jmaa.2013.03.058
dc.identifier.doi	10.1016/j.jmaa.2013.03.058	es
idus.format.extent	15 p.	es
dc.journaltitle	Journal of Mathematical Analysis and Applications	es
dc.publication.volumen	405	es
dc.publication.issue	1	es
dc.publication.initialPage	271	es
dc.publication.endPage	285	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/41750

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