Asymptotic Expansion of Laplace Transforms about the Origin using Generalized Functions
- 1 March 1979
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 23 (2) , 181-192
- https://doi.org/10.1093/imamat/23.2.181
Abstract
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.Keywords
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