Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Simple Pole and a Coalescing Turning Point in the Complex Plane

DOI10.1137/S0036141092229537zbMath0798.34062MaRDI QIDQ4292635

T. M. Dunster

Publication date: 7 November 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorerror boundsuniform asymptotic approximationscomplex planesecond-order linear differential equationscoalescing turning pointWhittaker's confluent hypergeometric functions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations in the complex domain (34M99)

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