The resurgence properties of the large-order asymptotics of the Hankel and Bessel functions

DOI10.1142/S021953051450033XzbMath1306.41012arXiv1309.2209OpenAlexW3099220150MaRDI QIDQ5170150

Gergő Nemes

Publication date: 18 July 2014

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

Full work available at URL: https://arxiv.org/abs/1309.2209

zbMATH Keywords

error boundsasymptotic expansionsBessel functionsresurgenceStokes phenomenonHankel functionslate coefficients

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Asymptotic representations in the complex plane (30E15)

Related Items (3)

The resurgence properties of the Hankel and Bessel functions of nearly equal order and argument ⋮ The resurgence properties of the large order asymptotics of the Anger-Weber function I ⋮ The resurgence properties of the large order asymptotics of the Anger-Weber function II

Uses Software

• DLMF

Cites Work

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