Laplace-Stieltjes Transform and its Asymptotic Expansion

Author(s)	M K Nikam
Country	India
Abstract	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.
Keywords	Laplace transform, Stieltjes transform, Laplace-Stieltjes transform
Field	Mathematics
Published In	Volume 6, Issue 5, September-October 2024
Published On	2024-09-24
Cite This	Laplace-Stieltjes Transform and its Asymptotic Expansion - M K Nikam - IJFMR Volume 6, Issue 5, September-October 2024. DOI 10.36948/ijfmr.2024.v06i05.27823
DOI	https://doi.org/10.36948/ijfmr.2024.v06i05.27823
Short DOI	https://doi.org/g5knt9

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