Article ID Journal Published Year Pages File Type
4636198 Applied Mathematics and Computation 2006 8 Pages PDF
Abstract

In the present paper the authors introduce the exponential integral transform and the complementary error transform, then it is shown that the third iterate of the Laplace transform is the exponential integral transform and a modified third iterate of the Laplace transform is the complementary error transform. Some identities involving these new transforms, the Laplace transform and the Stieltjes transform are given. Using the identities, Parseval–Goldstein type results involving these transforms are proved. Some illustrative examples are also given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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