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Varying discrete Laguerre--Sobolev orthogonal polynomials: asymptotic behavior and zeros
dc.contributor.author | Mañas Mañas, Juan Francisco | |
dc.contributor.author | Marcellán, Francisco | |
dc.contributor.author | Moreno Balcázar, Juan José | |
dc.date.accessioned | 2024-03-14T08:37:26Z | |
dc.date.available | 2024-03-14T08:37:26Z | |
dc.date.issued | 2013-10 | |
dc.identifier.uri | http://hdl.handle.net/10835/16157 | |
dc.description.abstract | We consider a varying discrete Sobolev inner product involving the Laguerre weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and of their zeros. We are interested in Mehler--Heine type formulas because they describe the asymptotic differences between these Sobolev orthogonal polynomials and the classical Laguerre polynomials. Moreover, they give us an approximation of the zeros of the Sobolev polynomials in terms of the zeros of other special functions. We generalize some results appeared very recently in the literature for both the varying and non--varying cases. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | 0096-3003 | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.source | Juan F. Mañas-Mañas, Francisco Marcellán, Juan J. Moreno-Balcázar. Varying discrete Laguerre Sobolev orthogonal polynomials: asymptotic behavior and zeros , Appl. Math . Comput. 222 (2013 ), 612-618 | es_ES |
dc.subject | Mathematics | es_ES |
dc.subject | Laguerre–Sobolev orthogonal polynomials | es_ES |
dc.subject | Mehler–Heine formulae | es_ES |
dc.subject | Asymptotics | es_ES |
dc.subject | Zeros | es_ES |
dc.title | Varying discrete Laguerre--Sobolev orthogonal polynomials: asymptotic behavior and zeros | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.amc.2013.07.074 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | Author FM Grant MTM2012-36732-C03-01. Author JJMB Grant MTM2011-28952-C02-01 and Grant P09-FQM-4643. | es_ES |