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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Applications of Laplace transforms and their inverses


Author: Charles Fox
Journal: Proc. Amer. Math. Soc. 35 (1972), 193-200
MSC: Primary 44A10; Secondary 45H05
MathSciNet review: 0300017
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Abstract: By means of Laplace transforms and their inverses we first solve the Varma transform, considered as an integral equation for an unknown function in the integrand. We then express two operators of fractional integration in terms of Laplace and inverse Laplace transforms.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0300017-4
Keywords: Laplace transforms, Mellin transforms, eliminating gamma function factors from integrands
Article copyright: © Copyright 1972 American Mathematical Society