dc.creator | Castro Jiménez, Francisco Jesús | es |
dc.creator | Fernández Fernández, María Cruz | es |
dc.creator | Koike, Tatsuya | es |
dc.creator | Takayama, Nobuki | es |
dc.date.accessioned | 2016-06-08T09:43:33Z | |
dc.date.available | 2016-06-08T09:43:33Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Castro Jiménez, F.J., Fernández Fernández, M.C., Koike, T. y Takayama, N. (2015). Irregular modified A-Hypergeometric systems. Transactions of the American Mathematical Society, 367 (8), 5415-5445. | |
dc.identifier.issn | 0002-9947 | es |
dc.identifier.issn | 1088-6850 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42048 | |
dc.description.abstract | A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a solution of an A-hypergeometric system in n variables and w is an n dimensional integer vector, which is called the weight vector. We study the irregularity of modified systems by adapting to this case the notion of umbrella introduced by M. Schulze and U. Walther. Especially, we study slopes and Gevrey series solutions. We develop some applications of this study. Under some conditions we give Laplace integral representations of divergent series solutions of the modified system and we show that certain Gevrey series solutions of the original A-hypergeometric system along coordinate varieties are Gevrey asymptotic expansions of holomorphic solutions of the A-hypergeometric system. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Max Planck Institute für Mathematik | es |
dc.description.sponsorship | Japan Society for the Promotion of Science | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Transactions of the American Mathematical Society, 367 (8), 5415-5445. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Irregular modified A-Hypergeometric systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | MTM2010-19336 | es |
dc.relation.projectID | FQM5849 | es |
dc.relation.projectID | FQM333 | es |
dc.relation.projectID | S-13025-JSPS | es |
dc.relation.projectID | 21740098 | es |
dc.relation.projectID | S-24224001 | es |
dc.relation.publisherversion | http://doi.org/10.1090/S0002-9947-2014-06225-9 | es |
dc.identifier.doi | 10.1090/S0002-9947-2014-06225-9 | es |
idus.format.extent | 39 p. | es |
dc.journaltitle | Transactions of the American Mathematical Society | es |
dc.publication.volumen | 367 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 5415 | es |
dc.publication.endPage | 5445 | es |
dc.relation.publicationplace | Providence (Rhode Island) | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42048 | |