New recurrence relations for several classical families of polynomials

Ferreira González, Chelo; López García, José Luis; Pérez Sinusía, Ester

Publication:
New recurrence relations for several classical families of polynomials

dc.contributor.author	Ferreira González, Chelo
dc.contributor.author	López García, José Luis
dc.contributor.author	Pérez Sinusía, Ester
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.funder	Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa	es
dc.date.accessioned	2022-04-26T06:53:43Z
dc.date.available	2022-11-10T00:00:37Z
dc.date.issued	2021
dc.description.abstract	In this paper, we derive new recurrence relations for the following families of polynomials: nörlund polynomials, generalized Bernoulli polynomials, generalized Euler polynomials, Bernoulli polynomials of the second kind, Buchholz polynomials, generalized Bessel polynomials and generalized Apostol–Euler polynomials. The recurrence relations are derived from a differential equation of first order and a Cauchy integral representation obtained from the generating function of these polynomials.	en
dc.description.sponsorship	This research was supported by the Ministerio de Economía y Competitividad, Secretaría de Estado de Investigación, Desarrollo e Innovación (MTM2017-83490-P) and the Universidad Pública de Navarra.	en
dc.embargo.lift	2022-11-10
dc.embargo.terms	2022-11-10
dc.format.extent	12 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1080/10236198.2021.1999432
dc.identifier.issn	1023-6198
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/42794
dc.language.iso	eng	en
dc.publisher	Taylor and Francis	en
dc.relation.ispartof	Journal of Difference Equations and Applications, 27 (10), pp. 1512-1523, 2021	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1080/10236198.2021.1999432
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.subject	Classical polynomials	en
dc.subject	Generating function	en
dc.subject	Recurrence relations	en
dc.subject	Cauchy integral representation	en
dc.title	New recurrence relations for several classical families of polynomials	en
dc.type	info:eu-repo/semantics/article	en
dc.type	Artículo / Artikulua	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
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