The singularly perturbed Bessel equation in complex domains
DOI10.1070/IM2009v073n03ABEH002459zbMath1182.34110MaRDI QIDQ5322956
Publication date: 23 July 2009
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
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)