Steepest-descents integral representations for dominant solutions of linear second-order differential equations

DOI10.4310/MAA.1996.V3.N2.A2zbMath0934.34079MaRDI QIDQ674799

William G. C. Boyd

Publication date: 10 April 2000

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

integral representationsAiry equationlinear second-order differential equationsone-sided Hilbert transform typeStieltjes transform type

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Linear ordinary differential equations and systems (34A30) Remainders in approximation formulas (41A80) 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)

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