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The singularly perturbed Bessel equation in complex domains

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Publication:5322956
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DOI10.1070/IM2009v073n03ABEH002459zbMath1182.34110MaRDI QIDQ5322956

A. S. Yudina

Publication date: 23 July 2009

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


zbMATH Keywords

Bessel equationStokes linesregularizing functionregularized asymptotic expansionsDebye's expansion


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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)





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