On the summability of a class of formal power series
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/55236DOI: 10.7153/mia-2022-25-68
ISSN: 1331-4343
Editor
Ele-Math
Fecha de publicación
2022Patrocinadores
Agencia Estatal de Investigación
Cita bibliográfica
Lastra, A., Sanz, J. & Sendra, J.R. 2022, “On the summability of a class of formal power series”, Mathematical Inequalities & Applications, vol. 25, no. 4, pp. 1101-1121.
Palabras clave
Gevrey asymptotic expansions
Formal power series
Summability
Moment differential equations
Proximate orders
q-Gevrey asymptotics
Proyectos
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113192GB-I00/ES/VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://dx.doi.org/10.7153/mia-2022-25-68Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2022 Ele-Math
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
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.
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