A convergent and asymptotic Laplace method for integrals

DOI10.1016/j.cam.2022.114897OpenAlexW4306767410MaRDI QIDQ2104072

Pedro J. Pagola, Pablo Palacios, José Luis López

Publication date: 9 December 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114897

zbMATH Keywords

special functionsLaplace's methodWatson's lemmaconvergent expansionsasymptotic expansions of integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Computational aspects of special functions (33F99)

Uses Software

• DLMF

Cites Work

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• A simplification of Laplace's method: applications to the gamma function and Gauss hypergeometric function
• Asymptotic Methods for Integrals
• Uniform convergent expansions of integral transforms

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