Uniform asymptotic expansions for Lommel, Anger‐Weber, and Struve functions

DOI10.1111/SAPM.12442arXiv2104.01700OpenAlexW3197787853MaRDI QIDQ6063959

T. M. Dunster

Publication date: 12 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01700

zbMATH Keywords

asymptotic expansionsBessel functionsStruve functionsLommel functionsAnger-Weber functionsNeumann polynomials

Mathematics Subject Classification ID

Special functions (33-XX) Functions of a complex variable (30-XX)

Cites Work

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• Computation of asymptotic expansions of turning point problems via Cauchy's integral formula: Bessel functions
• An extension of Laplace's method
• 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
• Asymptotic solutions of inhomogeneous differential equations having a turning point
• Simplified error bounds for turning point expansions
• Nield--Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions
• On the large argument asymptotics of the Lommel function via Stieltjes transforms
• Error Bounds for the Large‐Argument Asymptotic Expansions of the Lommel and Allied Functions

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