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

BROWN D., DERNEK A. N., Yuerekli O.

APPLIED MATHEMATICS AND COMPUTATION, vol.187, no.2, pp.1557-1566, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 187 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.1016/j.amc.2006.09.139
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1557-1566
  • Marmara University Affiliated: Yes

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.