Modified A-hypergeometric Systems

2007/06/30 by Nobuki Takayama, Takayama, Nobuki
Computer Science · Engineering · #33C70 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0707.0043

openalex publication_date 2007/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We will introduce a modified system of A-hypergeometric system (GKZ system) by applying a change of variables for Groebner deformations and study its Groebner basis and the indicial polynomials along the "exceptional hypersurface".

Related

• A-hypergeometric series with parameters in the core
• Generalized hypergeometric functions with several variables
• Isomorphism classes of A-hypergeometric systems
• The A-hypergeometric System Associated with a Monomial Curve
• Nilsson solutions for irregular A-hypergeometric systems