Gevrey expansions of hypergeometric integrals II

التفاصيل البيبلوغرافية
العنوان: Gevrey expansions of hypergeometric integrals II
المؤلفون: Castro-Jiménez, Francisco-Jesús, Fernández-Fernández, María-Cruz, Granger, Michel
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Classical Analysis and ODEs, 14F10, 33C70, 32C38, 35C20
الوصف: We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation.
Comment: 27 pages, 2 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1904.07584
رقم الانضمام: edsarx.1904.07584
قاعدة البيانات: arXiv