Gevrey solutions for irregular hypergeometric systems I

2008/04/04 by María‐Cruz Fernández‐Fernández, M. C. Fernández-Fernández, Fernández-Fernández, M. C. +3 · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #13N10 (Primary) 13P10 #14F10 #14M25 (Secondary) #32C38 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AG #msc:13N10 #msc:13P10 #msc:14F10 #msc:14M25 #msc:32C38

paper · pdf · doi:10.48550/arxiv.0804.0809

Changed content. Reference added. Corrected typos. 41 pages

openalex publication_date 2008/04/04 · arxiv created 2008/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We describe the Gevrey solutions at singular points of irregular hypergeometric systems (GKZ systems) associated with affine monomial curves.

Cited by

• Gevrey solutions of irregular hypergeometric systems in two variables
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve

Related

• Gevrey expansions of hypergeometric integrals II
• Gevrey expansions of hypergeometric integrals I
• Slopes of a Hypergeometric System Associated to a Monomial Curve
• Nilsson solutions for irregular A-hypergeometric systems
• The A-hypergeometric System Associated with a Monomial Curve