On uniform asymptotic expansions of finite Laplace and Fourier integrals

DOI10.1017/S0308210500011872zbMath0437.41031OpenAlexW2332904008MaRDI QIDQ3878121

Kusum Soni

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500011872

zbMATH Keywords

asymptotic approximationFourier integralsLaplace integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Laplace transform (44A10) Asymptotic representations in the complex plane (30E15)

Cites Work

• Error bounds for the Laplace approximation for definite integrals
• Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
• Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities
• Note on Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities
• Error Bounds for Stationary Phase Approximations
• Asymptotic Behavior of Integrals