Asymptotic Expansion of Laplace Transforms about the Origin using Generalized Functions |
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Authors: | DURBIN P |
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Institution: |
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract: | A technique for obtaining asymptotic expansions of integralsby approximating the integrand and then using generalized functiontheory to evaluate the approximated integral is described. Thegeneral 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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