Artículo
Nilsson solutions for irregular A-hypergeometric systems
Fecha de publicación:
2012
Editorial:
European Mathematical Society
Revista:
Revista Matematica Iberoamericana
ISSN:
0213-2230
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Hypergeometric
,
Irregular
,
Nilsson Solution
,
Holonomic Rank
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
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
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