Stokes matrices of hypergeometric integrals

DOI10.5802/aif.2523zbMath1201.34140arXiv0712.1707OpenAlexW2963463065MaRDI QIDQ968263

Christophe Sabot, Alexey A. Glutsyuk

Publication date: 5 May 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1707

zbMATH Keywords

hypergeometric integralshyperplane arrangementlinear ordinary differential equationStokes matrix

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

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• The determinant of a hypergeometric periodic matrix
• Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
• Generalized hypergeometric equations of non-Fuchsian type
• Differential Galois groups of confluent generalized hypergeometric equations: An approach using Stokes multipliers
• A global representation of a fundamental set of solutions and a Stokes phenomenon for a system of linear ordinary differential equations
• Markov chains in a Dirichlet environment and hypergeometric integrals
• Galois groups, Stokes operators and a theorem of Ramis
• The Determinant of a Hypergeometric Period Matrix

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