Stokes geometry of higher order linear ordinary differential equations and middle convolution

DOI10.1016/j.aim.2017.02.006zbMath1365.34149OpenAlexW2597029211WikidataQ115362021 ScholiaQ115362021MaRDI QIDQ520366

Yoshitsugu Takei, Takahiro Moteki

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1016/j.aim.2017.02.006

zbMATH Keywords

middle convolutionBorel summabilityWKB solutionexact steepest descent methodStokes geometry

Mathematics Subject Classification ID

Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

An asymptotic expansion of eigenpolynomials for a class of linear differential operators

Cites Work

• Fractional calculus of Weyl algebra and Fuchsian differential equations
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• On the exact steepest descent method: A new method for the description of Stokes curves
• New Stokes’ line in WKB theory
• Rigid Local Systems. (AM-139)
• Virtual Turning Points
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