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dc.contributor.author
Dickenstein, Alicia Marcela
dc.contributor.author
Martinez, Federico Nicolas
dc.contributor.author
Matusevich, Laura Felicia
dc.date.available
2017-07-07T22:33:55Z
dc.date.issued
2012
dc.identifier.citation
Dickenstein, Alicia Marcela; Martinez, Federico Nicolas; Matusevich, Laura Felicia; Nilsson solutions for irregular A-hypergeometric systems; European Mathematical Society; Revista Matematica Iberoamericana; 28; 3; 2012; 723-758
dc.identifier.issn
0213-2230
dc.identifier.uri
http://hdl.handle.net/11336/19955
dc.description.abstract
We 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.format
application/pdf
dc.language.iso
eng
dc.publisher
European Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hypergeometric
dc.subject
Irregular
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Nilsson Solution
dc.subject
Holonomic Rank
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Nilsson solutions for irregular A-hypergeometric systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-07T14:43:44Z
dc.journal.volume
28
dc.journal.number
3
dc.journal.pagination
723-758
dc.journal.pais
Suiza
dc.journal.ciudad
Zürich
dc.description.fil
Fil: 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.description.fil
Fil: 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.description.fil
Fil: Matusevich, Laura Felicia. Texas A&M University; Estados Unidos
dc.journal.title
Revista Matematica Iberoamericana
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/RMI/689
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=28&iss=3&rank=3
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1007.4225
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