On the asymptotics of the rescaled Appell polynomials

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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)
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