On the resurgence properties of the uniform asymptotic expansion of Bessel functions of large order

DOI10.1098/rspa.1999.0483zbMath0973.33002OpenAlexW2019314278MaRDI QIDQ4946415

Adri B. Olde Daalhuis, C. J. Howls

Publication date: 22 November 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0483

zbMATH Keywords

asymptotic expansionsturning pointssteepest descentBessel functionsAiry function

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Numerical calculation of Bessel, Hankel and Airy functions ⋮ The resurgence properties of the large-order asymptotics of the Hankel and Bessel functions

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