The resurgence properties of the large order asymptotics of the Anger-Weber function I

DOI10.7153/jca-04-01zbMath1412.41030arXiv1311.2522OpenAlexW2963020295MaRDI QIDQ3120714

Gergő Nemes

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2522

zbMATH Keywords

error boundsasymptotic expansionsStokes phenomenonlate coefficientsAnger-Weber function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) 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)

Uniform asymptotic expansions for Lommel, Anger‐Weber, and Struve functions ⋮ An extension of Laplace's method ⋮ The resurgence properties of the large order asymptotics of the Anger-Weber function II

Uses Software

• DLMF

Cites Work

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• Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral
• Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral Transforms
• Hyperasymptotics for integrals with finite endpoints
• Uniform asymptotic smoothing of Stokes’s discontinuities
• The resurgence properties of the large-order asymptotics of the Hankel and Bessel functions
• The calculation of the coefficients of certain asymptotic series by means of linear recurrent relations

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