dc.creator | Álvarez Nodarse, Renato | es |
dc.creator | Moreno Balcázar, Juan José | es |
dc.date.accessioned | 2016-05-31T11:03:01Z | |
dc.date.available | 2016-05-31T11:03:01Z | |
dc.date.issued | 2004-06 | |
dc.identifier.citation | Álvarez Nodarse, R. y Moreno Balcázar, J.J. (2004). Asymptotic properties of generalized Laguerre orthogonal polynomials. Indagationes Mathematicae, 15 (2), 151-165. | |
dc.identifier.issn | 0019-3577 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41725 | |
dc.description.abstract | In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x
α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly introduced by Koekoek and Meijer in 1993 and extensively studied in the last years.
We present some new asymptotic properties of these polynomials and also a limit relation between the zeros of these polynomials and the zeros of Bessel function Jα(x). The results are illustrated with numerical examples. Also, some general asymptotic formulas for generalizations of these polynomials are conjectured. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Dirección General de Investigación | es |
dc.description.sponsorship | Unión Europea | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Indagationes Mathematicae, 15 (2), 151-165. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Asymptotics | es |
dc.subject | Laguerre polynomials | es |
dc.subject | generalized Laguerre polynomials | es |
dc.title | Asymptotic properties of generalized Laguerre orthogonal polynomials | 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 | FQM 0262 | es |
dc.relation.projectID | BFM 2000-0206-C04-02 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/INTAS-2000-00272 | es |
dc.relation.projectID | FQM 0229 | es |
dc.relation.projectID | BFM 2001-3878-C02-02 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/S0019-3577(04)90012-2 | |
dc.identifier.doi | 10.1016/S0019-3577(04)90012-2 | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Indagationes Mathematicae | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 151 | es |
dc.publication.endPage | 165 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41725 | |