On the modification of classical orthogonal polynomials: the symmetric case

Álvarez Nodarse, Renato; Marcellán Español, Francisco

Artículo

dc.creator	Álvarez Nodarse, Renato	es
dc.creator	Marcellán Español, Francisco	es
dc.date.accessioned	2016-05-31T09:22:47Z
dc.date.available	2016-05-31T09:22:47Z
dc.date.issued	1998-03
dc.identifier.citation	Álvarez Nodarse, R. y Marcellán Español, F. (1998). On the modification of classical orthogonal polynomials: the symmetric case. Approximation Theory and its Applications, 14 (1), 8-28.
dc.identifier.issn	1000-9221	es
dc.identifier.issn	1573-8175	es
dc.identifier.uri	http://hdl.handle.net/11441/41706
dc.description.abstract	We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for large n, the behaviour of their zeros.	es
dc.description.sponsorship	Dirección General de Investigación Científica y Técnica	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Approximation Theory and its Applications, 14 (1), 8-28.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Hermite polynomials	es
dc.subject	Gegenbauer polynomials	es
dc.subject	discrete measures	es
dc.subject	zeros	es
dc.subject	symmetric functionals	es
dc.title	On the modification of classical orthogonal polynomials: the symmetric case	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
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 93-0228-C02-01	es
idus.format.extent	21 p.	es
dc.journaltitle	Approximation Theory and its Applications	es
dc.publication.volumen	14	es
dc.publication.issue	1	es
dc.publication.initialPage	8	es
dc.publication.endPage	28	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/41706
dc.contributor.funder	Dirección General de Investigación Científica y Técnica (DGICYT). España

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