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

O. Yürekli and I. Sadek

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-8

Abstract:

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

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:160375

DOI: 10.1155/S0161171291000704

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