Reducibility of Hypergeometric Equations

DOI10.1007/978-3-319-52842-7_14zbMath1404.34101OpenAlexW2713635323MaRDI QIDQ4645004

Toshio Oshima

Publication date: 9 January 2019

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

Full work available at URL: https://doi.org/10.1007/978-3-319-52842-7_14

zbMATH Keywords

hypergeometric functionmiddle convolutionPfaffian systemmonodromy representations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Appell, Horn and Lauricella functions (33C65) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• Fractional calculus of Weyl algebra and Fuchsian differential equations
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Rigidity of monodromies for Appell's hypergeometric functions
• An algorithm of Katz and its application to the inverse Galois problem.

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