A new way to evaluate the Probability and Fresnel integrals |
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Authors: | Parviz Khalili |
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Affiliation: | 1. Department of Mathematics , Christopher Newport University , Newport News VA, 23606pkhalili@cnu.edu |
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Abstract: | In this article, we show how Laplace Transform may be used to evaluate variety of nontrivial improper integrals, including Probability and Fresnel integrals. The algorithm we have developed here to evaluate Probability, Fresnel and other similar integrals seems to be new. This method transforms the evaluation of certain improper integrals into evaluation of improper integrals of the corresponding Laplace transform, which in many cases are much easier. |
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Keywords: | matrix inversion elementary row operation Gauss–Jordan algorithm generalized inverse Moore–Penrose inverse |
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