Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions

We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line. We use them to find the sum of many different series involving the zeros of Bessel fu...

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Detalles Bibliográficos
Autores: Ciaurri, Óscar, Durán Guardeño, Antonio José, Pérez, Mario, Varona, Juan L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/182272
Acceso en línea:https://hdl.handle.net/11441/182272
https://doi.org/10.1016/j.jat.2018.06.001
Access Level:acceso abierto
Palabra clave:Appell–Dunkl sequences
Bernoulli–Dunkl polynomials
Apostol–Euler–Dunkl polynomials
Dunkl kernel
Fourier–Dunkl series
Zeros of Bessel functions
Rayleigh functions
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spelling Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functionsCiaurri, ÓscarDurán Guardeño, Antonio JoséPérez, MarioVarona, Juan L.Appell–Dunkl sequencesBernoulli–Dunkl polynomialsApostol–Euler–Dunkl polynomialsDunkl kernelFourier–Dunkl seriesZeros of Bessel functionsRayleigh functionsWe introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line. We use them to find the sum of many different series involving the zeros of Bessel functions.ElsevierAnálisis MatemáticoFQM262: Teoría de la Aproximación2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/182272https://doi.org/10.1016/j.jat.2018.06.001reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Approximation Theory, 235, 20-45.10.1016/j.jat.2018.06.001info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1822722026-06-17T12:51:07Z
dc.title.none.fl_str_mv Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
title Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
spellingShingle Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
Ciaurri, Óscar
Appell–Dunkl sequences
Bernoulli–Dunkl polynomials
Apostol–Euler–Dunkl polynomials
Dunkl kernel
Fourier–Dunkl series
Zeros of Bessel functions
Rayleigh functions
title_short Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
title_full Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
title_fullStr Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
title_full_unstemmed Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
title_sort Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
dc.creator.none.fl_str_mv Ciaurri, Óscar
Durán Guardeño, Antonio José
Pérez, Mario
Varona, Juan L.
author Ciaurri, Óscar
author_facet Ciaurri, Óscar
Durán Guardeño, Antonio José
Pérez, Mario
Varona, Juan L.
author_role author
author2 Durán Guardeño, Antonio José
Pérez, Mario
Varona, Juan L.
author2_role author
author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM262: Teoría de la Aproximación
dc.subject.none.fl_str_mv Appell–Dunkl sequences
Bernoulli–Dunkl polynomials
Apostol–Euler–Dunkl polynomials
Dunkl kernel
Fourier–Dunkl series
Zeros of Bessel functions
Rayleigh functions
topic Appell–Dunkl sequences
Bernoulli–Dunkl polynomials
Apostol–Euler–Dunkl polynomials
Dunkl kernel
Fourier–Dunkl series
Zeros of Bessel functions
Rayleigh functions
description We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line. We use them to find the sum of many different series involving the zeros of Bessel functions.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/182272
https://doi.org/10.1016/j.jat.2018.06.001
url https://hdl.handle.net/11441/182272
https://doi.org/10.1016/j.jat.2018.06.001
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Approximation Theory, 235, 20-45.
10.1016/j.jat.2018.06.001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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