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IMA Journal of Applied Mathematics 1979 23(2):181-192; doi:10.1093/imamat/23.2.181
© 1979 by Institute of Mathematics and its Applications
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Asymptotic Expansion of Laplace Transforms about the Origin using Generalized Functions

P. DURBIN

Department of Applied Mathematics and Theoretical Physics, University of Cambridge

A technique for obtaining asymptotic expansions of integrals by approximating the integrand and then using generalized function theory to evaluate the approximated integral is described. The general technique is presented here by way of a specific example, namely, the expansion of Laplace transforms about the origin. Error bounds for these expansions are also obtained.


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