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On uniform asymptotic expansions of finite Laplace and Fourier integrals
Published online by Cambridge University Press: 14 November 2011
Synopsis
A uniform asymptotic expansion of the Laplace integrals ℒ(f, s) with explicit remainder terms is given. This expansion is valid in the whole complex s−plane. In particular, for s = −ix, it provides the Fourier integral expansion.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 3-4 , 1980 , pp. 299 - 305
- Copyright
- Copyright © Royal Society of Edinburgh 1980
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