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dc.contributor.author | Cano Torres, José María | |
dc.contributor.author | Fortuny Ayuso, Pedro | |
dc.contributor.author | Ribón, Javier | |
dc.date.accessioned | 2024-10-21T12:36:04Z | |
dc.date.available | 2024-10-21T12:36:04Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Publicacions Matèmatiques, 2024, vol. 68, n. 2. p. 331-358. | es |
dc.identifier.issn | 02141493 | es |
dc.identifier.uri | https://uvadoc.uva.es/handle/10324/70903 | |
dc.description | Producción Científica | es |
dc.description.abstract | We 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.mimetype | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Universitat Autonoma de Barcelona | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Matemáticas - Investigación | es |
dc.subject.classification | power series solution | es |
dc.subject.classification | holomorphic foliation | es |
dc.subject.classification | q-difference equation | es |
dc.subject.classification | Newton–Puiseux polygon | es |
dc.title | Complexity of Puiseux solutions of differential and q-difference equations of order and degree one | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.holder | ©2024 by the author(s) under Creative Commons Attribution 4.0 License (CC BY 4.0). | es |
dc.identifier.doi | 10.5565/PUBLMAT6822401 | es |
dc.relation.publisherversion | https://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT6822401 | es |
dc.identifier.publicationfirstpage | 331 | es |
dc.identifier.publicationissue | 2 | es |
dc.identifier.publicationlastpage | 358 | es |
dc.identifier.publicationtitle | Publicacions Matèmatiques | es |
dc.identifier.publicationvolume | 68 | es |
dc.peerreviewed | SI | es |
dc.description.project | MICIU/AEI /10.13039/501100011033 y por FEDER, UE. Proyecto: PID2022-139631NB-I00 | es |
dc.description.project | FAPERJ - Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Processo SEI 260003/003548/2022 | es |
dc.description.project | Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico-CNPq, Proc. 308838/2019-0 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | es |
dc.subject.unesco | 1201.04 Álgebra Diferencial | es |
dc.subject.unesco | 1204 Geometría | es |
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