Application of uniform asymptotics to the second Painlevé transcendent

DOI10.1007/s002050050105zbMath0912.34007arXivsolv-int/9609005OpenAlexW2069154027MaRDI QIDQ1271791

Peter A. Clarkson, Andrew P. Bassom, John Bryce McLeod, Chun-Kong Law

Publication date: 11 November 1998

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9609005

zbMATH Keywords

Painlevé differential equationstransformationsAiry functionsparabolic cylinder functionsuniform approximations to solutions

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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