Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636198 | Applied Mathematics and Computation | 2006 | 8 Pages |
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
Authors
David Brown, Neşe Dernek, Osman Yürekli,