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On uniform asymptotic expansions of finite Laplace and Fourier integrals

Published online by Cambridge University Press:  14 November 2011

Kusum Soni
Kusum Soni
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37916, U.S.A.
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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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