On the asymptotics of the rescaled Appell polynomials

Barbero G., J. Fernando; Salas Martínez, Jesús; Sánchez Villaseñor, Eduardo Jesús

e-Archivo Home
→
Investigación
→
Departamentos
→
Departamento de Matemáticas
→
Grupo de Modelización, Simulación Numérica y Matemática Industrial
→
DM - MSNMI - Artículos de Revistas
→
View Item

dc.contributor.author	Barbero G., J. Fernando
dc.contributor.author	Salas Martínez, Jesús
dc.contributor.author	Sánchez Villaseñor, Eduardo Jesús
dc.date.accessioned	2021-04-05T12:09:51Z
dc.date.available	2022-02-01T00:00:04Z
dc.date.issued	2020-02-01
dc.identifier.bibliographicCitation	Barbero G., J. F., Salas, J., & Villaseñor, E. J. S. (2020). On the asymptotics of the rescaled Appell polynomials. Advances in Applied Mathematics, 113, 101962
dc.identifier.issn	0196-8858
dc.identifier.uri	http://hdl.handle.net/10016/32261
dc.description.abstract	We introduce a new representation for the rescaled Appell polynomials and use it to obtain asymptotic expansions to arbitrary order. This representation consists of a finite sum and an integral over a universal contour (i.e. independent of the particular polynomials considered within the Appell family). We illustrate our method by studying the zero attractors for rescaled Appell polynomials. We also discuss the asymptotics to arbitrary order of the rescaled Bernoulli polynomials.
dc.language.iso	eng
dc.publisher	Elsevier
dc.rights	© 2019 Elsevier
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other	Appell polynomials
dc.subject.other	Bernoulli polynomials
dc.subject.other	Asymptotic expansions
dc.subject.other	Zero attractor
dc.title	On the asymptotics of the rescaled Appell polynomials
dc.type	article
dc.subject.eciencia	Materiales
dc.identifier.doi	https://doi.org/10.1016/j.aam.2019.101962
dc.rights.accessRights	openAccess
dc.relation.projectID	Gobierno de España. FIS2014-57387-C3-3-P
dc.relation.projectID	Gobierno de España. FIS2017-84440-C2-2-P
dc.type.version	acceptedVersion
dc.identifier.publicationfirstpage	101962/1
dc.identifier.publicationlastpage	101962/18
dc.identifier.publicationtitle	Advances in Applied Mathematics
dc.identifier.publicationvolume	113
dc.identifier.uxxi	AR/0000024020
dc.contributor.funder	Ministerio de Economía y Competitividad (España)