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dc.creatorDickenstein, Alicia Marcela-
dc.creatorMartinez, Federico Nicolas-
dc.creatorMatusevich, Laura Felicia-
dc.date2017-07-07T22:33:55Z-
dc.date2017-07-07T22:33:55Z-
dc.date2012-
dc.date2017-07-07T14:43:44Z-
dc.date.accessioned2019-04-29T15:51:28Z-
dc.date.available2019-04-29T15:51:28Z-
dc.date.issued2012-
dc.identifierDickenstein, Alicia Marcela; Martinez, Federico Nicolas; Matusevich, Laura Felicia; Nilsson solutions for irregular A-hypergeometric systems; European Mathematical Society; Revista Matematica Iberoamericana; 28; 3; -1-2012; 723-758-
dc.identifier0213-2230-
dc.identifierhttp://hdl.handle.net/11336/19955-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/303867-
dc.descriptionWe study the solutions of irregular A-hypergeometric systems that are constructed from Grobner degenerations with respect to generic positive weight ¨ vectors. These are formal logarithmic Puiseux series that belong to explicitly described Nilsson rings, and are therefore called (formal) Nilsson series. When the weight vector is a perturbation of (1, . . . , 1), these series converge and provide a basis for the (multivalued) holomorphic hypergeometric functions in a specific open subset of C n . Our results are more explicit when the parameters are generic or when the solutions studied are logarithm-free. We also give an alternative proof of a result of Schulze and Walther that inhomogeneous A-hypergeometric systems have irregular singularities.-
dc.descriptionFil: Dickenstein, Alicia Marcela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.descriptionFil: Martinez, Federico Nicolas. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.descriptionFil: Matusevich, Laura Felicia. Texas A&M University; Estados Unidos-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherEuropean Mathematical Society-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/RMI/689-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=28&iss=3&rank=3-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1007.4225-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectHypergeometric-
dc.subjectIrregular-
dc.subjectNilsson solution-
dc.subjectHolonomic rank-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleNilsson solutions for irregular A-hypergeometric systems-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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