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arxiv: 1101.0493 · v2 · pith:SR7FZVQKnew · submitted 2011-01-03 · 🧮 math.AG

Monodromy of A-hypergeometric functions

classification 🧮 math.AG
keywords groupmonodromya-hypergeometricarticlesystemcomputedifferentialequations
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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.

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  1. Numerical analytical continuation of multivariate hypergeometric functions

    math-ph 2026-05 unverdicted novelty 4.0

    A general numerical framework is described for high-precision evaluation and analytic continuation of multivariate hypergeometric functions via Pfaffian systems and the Frobenius method.