2012/12/06 by Francisco Jesús Castro Jiménez, Castro-Jimenez, F. J., Michel Granger +1
Computer Science · Mathematics · Physics and Astronomy · #14F10 #32C38 (Primary) #33C70 #35A27 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1212.1410
openalex publication_date 2012/12/06 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row matrix, for which the integration domains are one dimensional. We prove that any Gevrey series solution along the singular support of the system is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation.