Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve

DOI10.1090/S0002-9947-2010-05115-3zbMath1219.32007arXiv0811.3392OpenAlexW2022367188MaRDI QIDQ3082380

María Cruz Fernández-Fernández, Francisco-Jesús Castro-Jiménez

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3392

zbMATH Keywords

irregularity complexGevrey solutionshypergeometric D-module

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10)

Related Items (10)

A generalisation of the Cauchy-Kovalevskaïa theorem ⋮ On irregular binomial \(D\)-modules ⋮ The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice ⋮ Nilsson solutions for irregular A-hypergeometric systems ⋮ Gevrey solutions of irregular hypergeometric systems in two variables ⋮ Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Restriction of hypergeometric 𝒟-modules with respect to coordinate subspaces ⋮ Dualizing, projecting, and restricting GKZ systems ⋮ Irregular modified $A$-hypergeometric systems

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