Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one

DOI10.1098/rspa.1994.0047zbMath0809.34007OpenAlexW2115227325MaRDI QIDQ4307728

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Publication date: 4 October 1994

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1486

zbMATH Keywords

asymptotic expansions homogeneous linear differential equations irregular singularity of rank one

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Error analysis in a uniform asymptotic expansion for the generalised exponential integral ⋮ Uniform asymptotic expansions of integrals: A selection of problems ⋮ Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles ⋮ In memoriam Frank W. J. Olver (1924–2013) ⋮ Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter ⋮ On the Remainders of Asymptotic Expansions of Solutions of Linear Differential Equations near Irregular Singular Points of Higher Rank ⋮ Dingle’s final main rule, Berry’s transition, and Howls’ conjecture ^*

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