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

[摘要] 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 the𝒦-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.

[学科分类] 数学（综合）