Monodromy of A-hypergeometric functions

Abstract

Using Mellin-Barnes integrals we give a method to compute a relevant subgroup of the monodromy group of an A-hypergeometric system of differential equations. Presumably this group is the full monodromy group of the system. This article is a major rewrite of an article posted 2 years ago.

29 pages, 2 figures

References in corpus (3)

• Resonance equals reducibility for A-hypergeometric systems
• Irreducibility of A-hypergeometric systems
• Gamma structures and Gauss's contiguity

Cited by in corpus (7)

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• HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables
• Euler--Mellin integrals and A-hypergeometric functions
• On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems
• Hypergeometric Functions for Projective Toric Curves