The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice

DOI10.1070/SM8515zbMath1362.33018arXiv1503.06345MaRDI QIDQ2966682

Dmitry V. Artamonov

Publication date: 8 March 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06345

zbMATH Keywords

generalized hypergeometric functionsStokes phenomenonGelfand-Kapranov-Zelevinsky systemmultidimensional Pfaffian system

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Sheaves of differential operators and their modules, (D)-modules (32C38) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

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• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Gevrey solutions of irregular hypergeometric systems in two variables
• Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
• Birkhoff invariants and effective calculations for meromorphic linear differential equations. I
• Hypergeometric functions and rings generated by monomials
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
• The Asymptotic Expansion of the Meijer G-Function

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