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

 dc.creator Álvarez Nodarse, Renato es dc.creator Arvesú Carballo, Jorge es dc.date.accessioned 2016-05-31T11:51:59Z dc.date.available 2016-05-31T11:51:59Z dc.date.issued 1999 dc.identifier.citation Álvarez Nodarse, R. y Arvesú Carballo, J. (1999). On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3. Integral Transforms and Special Functions, 8 (3-4), 299-324. dc.identifier.issn 1065-2469 es dc.identifier.issn 1476-8291 es dc.identifier.uri http://hdl.handle.net/11441/41731 dc.description.abstract 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. es dc.description.sponsorship Dirección General de Enseñanza Superior es dc.description.sponsorship Unión Europea es dc.format application/pdf es dc.language.iso eng es dc.publisher Taylor & Francis es dc.relation.ispartof Integral Transforms and Special Functions, 8 (3-4), 299-324. dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional * dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ * dc.subject Discrete polynomials es dc.subject Q-polynomials es dc.subject Basic hypergeometric series es dc.subject Non-uniform lattices es dc.subject Q-Charlier polynomials es dc.title On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3 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 PB 96-0120-C03-01 es dc.relation.projectID info:eu-repo/grantAgreement/EC/INTAS-93-0219 es dc.relation.publisherversion http://dx.doi.org/10.1080/10652469908819236 es dc.identifier.doi 10.1080/10652469908819236 es idus.format.extent 23 p. es dc.journaltitle Integral Transforms and Special Functions es dc.publication.volumen 8 es dc.publication.issue 3-4 es dc.publication.initialPage 299 es dc.publication.endPage 324 es dc.identifier.idus https://idus.us.es/xmlui/handle/11441/41731 dc.contributor.funder Dirección General de Enseñanza Superior. España dc.contributor.funder European Union (UE)
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