On the summability of a class of formal power series

The formal power series solutions for some classes of moment differential equations, induced by polynomial moment differential operators, are characterized in terms of their summability properties, and in terms of estimates for recursive expressions involving their coefficients. Of special interest...

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Autores: Lastra Sedano, Alberto|||0000-0002-4012-6471, Sanz, Javier, Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/55236
Acceso en línea:http://hdl.handle.net/10017/55236
https://dx.doi.org/10.7153/mia-2022-25-68
Access Level:acceso abierto
Palabra clave:Gevrey asymptotic expansions
Formal power series
Summability
Moment differential equations
Proximate orders
q-Gevrey asymptotics
Matemáticas
Mathematics
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spelling On the summability of a class of formal power seriesLastra Sedano, Alberto|||0000-0002-4012-6471Sanz, JavierSendra Pons, Juan Rafael|||0000-0003-2568-1159Gevrey asymptotic expansionsFormal power seriesSummabilityMoment differential equationsProximate ordersq-Gevrey asymptoticsMatemáticasMathematicsThe formal power series solutions for some classes of moment differential equations, induced by polynomial moment differential operators, are characterized in terms of their summability properties, and in terms of estimates for recursive expressions involving their coefficients. Of special interest are the particularization of these results to classes of fractional and of ordinary differential equations. The Stokes’ phenomenon can be described in some of these situations. The main results are extended into the framework of q-Gevrey asymptotics and q-difference equations.Agencia Estatal de InvestigaciónEle-Math20222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/55236https://dx.doi.org/10.7153/mia-2022-25-68reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOSAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113192GB-I00 VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ebuah.uah.es:10017/552362026-06-18T11:13:07Z
dc.title.none.fl_str_mv On the summability of a class of formal power series
title On the summability of a class of formal power series
spellingShingle On the summability of a class of formal power series
Lastra Sedano, Alberto|||0000-0002-4012-6471
Gevrey asymptotic expansions
Formal power series
Summability
Moment differential equations
Proximate orders
q-Gevrey asymptotics
Matemáticas
Mathematics
title_short On the summability of a class of formal power series
title_full On the summability of a class of formal power series
title_fullStr On the summability of a class of formal power series
title_full_unstemmed On the summability of a class of formal power series
title_sort On the summability of a class of formal power series
dc.creator.none.fl_str_mv Lastra Sedano, Alberto|||0000-0002-4012-6471
Sanz, Javier
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
author Lastra Sedano, Alberto|||0000-0002-4012-6471
author_facet Lastra Sedano, Alberto|||0000-0002-4012-6471
Sanz, Javier
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
author_role author
author2 Sanz, Javier
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
author2_role author
author
dc.subject.none.fl_str_mv Gevrey asymptotic expansions
Formal power series
Summability
Moment differential equations
Proximate orders
q-Gevrey asymptotics
Matemáticas
Mathematics
topic Gevrey asymptotic expansions
Formal power series
Summability
Moment differential equations
Proximate orders
q-Gevrey asymptotics
Matemáticas
Mathematics
description The formal power series solutions for some classes of moment differential equations, induced by polynomial moment differential operators, are characterized in terms of their summability properties, and in terms of estimates for recursive expressions involving their coefficients. Of special interest are the particularization of these results to classes of fractional and of ordinary differential equations. The Stokes’ phenomenon can be described in some of these situations. The main results are extended into the framework of q-Gevrey asymptotics and q-difference equations.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/55236
https://dx.doi.org/10.7153/mia-2022-25-68
url http://hdl.handle.net/10017/55236
https://dx.doi.org/10.7153/mia-2022-25-68
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113192GB-I00 VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Ele-Math
publisher.none.fl_str_mv Ele-Math
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
collection e_Buah Biblioteca Digital Universidad de Alcalá
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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