Charles W. Fox
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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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.
Key concepts: Laplace transform, Post's inversion formula, Inverse Laplace transform, Green's function for the three-variable Laplace equation, Laplace transform applied to differential equations, Two-sided Laplace transform, Laplace–Stieltjes transform, Mellin transform