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dc.contributor.authorCano Torres, José María 
dc.contributor.authorFortuny Ayuso, Pedro
dc.contributor.authorRibón, Javier
dc.date.accessioned2024-10-21T12:36:04Z
dc.date.available2024-10-21T12:36:04Z
dc.date.issued2024
dc.identifier.citationPublicacions Matèmatiques, 2024, vol. 68, n. 2. p. 331-358.es
dc.identifier.issn02141493es
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/70903
dc.descriptionProducción Científicaes
dc.description.abstractWe relate the complexity of both differential and q-difference equations of order one and degree one and their solutions. Our point of view is to show that if the solutions are complicated, the initial equation is complicated too. In this spirit, we bound from below an invariant of the differential or q-difference equation, the height of its Newton polygon, in terms of the characteristic factors of a solution. The differential and the q-difference cases are treated in a unified way.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherUniversitat Autonoma de Barcelonaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMatemáticas - Investigaciónes
dc.subject.classificationpower series solutiones
dc.subject.classificationholomorphic foliationes
dc.subject.classificationq-difference equationes
dc.subject.classificationNewton–Puiseux polygones
dc.titleComplexity of Puiseux solutions of differential and q-difference equations of order and degree onees
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder©2024 by the author(s) under Creative Commons Attribution 4.0 License (CC BY 4.0).es
dc.identifier.doi10.5565/PUBLMAT6822401es
dc.relation.publisherversionhttps://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT6822401es
dc.identifier.publicationfirstpage331es
dc.identifier.publicationissue2es
dc.identifier.publicationlastpage358es
dc.identifier.publicationtitlePublicacions Matèmatiqueses
dc.identifier.publicationvolume68es
dc.peerreviewedSIes
dc.description.projectMICIU/AEI /10.13039/501100011033 y por FEDER, UE. Proyecto: PID2022-139631NB-I00es
dc.description.projectFAPERJ - Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Processo SEI 260003/003548/2022es
dc.description.projectConselho Nacional de Desenvolvimento Cientı́fico e Tecnológico-CNPq, Proc. 308838/2019-0es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones
dc.subject.unesco1202 Análisis y Análisis Funcionales
dc.subject.unesco1201.04 Álgebra Diferenciales
dc.subject.unesco1204 Geometríaes


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