Fractional calculus of Weyl algebra and Fuchsian differential equations

DOI10.2969/msjmemoirs/028010000zbMath1269.34003arXiv1102.2792OpenAlexW1631776391MaRDI QIDQ693697

Toshio Oshima

Publication date: 10 December 2012

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2792

zbMATH Keywords

monodromyWeyl algebrafractional calculusmiddle convolutioncontiguity relationFuchsian differential equationsconnection problemaccessory parameterDeligne-Simpson problemKac-Moody root system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Uses Software

• Risa/Asir
• okubo

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