Publication:
Identities for the E-2,E-1-transform and their applications

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2007

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ELSEVIER SCIENCE INC

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Abstract

In the present paper the authors introduce the E-2,E-1-transform with kernel the exponential integral function. It is shown that the third iterate of the L-2-transform is the exponential integral transform, and some identities involving the new transform, the L-2-transform and the Widder potential transform are given. Using the identities, Parseval-Goldstein type results involving these transforms are proved. Some illustrative examples are also given. (C) 2006 Elsevier Inc. All rights reserved.

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E-2,E-1-transforms, L-2-transforms, Laplace transforms, Widder potential transform, Stieltjes transforms, Mellin transforms, K-transforms, Hankel transforms, Fourier sine transforms, Parseval-Goldstein type theorems, L-2-TRANSFORM

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https://hdl.handle.net/11424/228624

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