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In this paper a Parseval-Goldstein type theorem involving the Widder potentialtransform and a Laplace type integral transform is given. The theorem is then shownto yield a relationship between the -transform and the Laplace type integral transform.The theorem yields some simple algorithms for evaluating infinite integrals. Using the theoremand its results, a number of new infinite integrals of elementary and special functionsare presented. Some illustrative examples are also given

A Parseval-Goldstein type theorem on the widder potential transform and its applications