In this paper we will present the Laplace-Stieltjes transform and its asymptotic expansion.Asymptotic Transforms which comes to further improvement the extension of the Laplace-Stieltjes Transforms to all locally integrable function as proposed by Watson's Lemma. It gives us a way to obtain the complete asymptotic expansion of integrals on the real axis that have an exponential type of kernel.. To obtain the asymptotic expansion of the transform, we follow the technique of Handelsman and Blestein.
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M K Nikam - (2024) studied this question.
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