New identities and Parseval type relations for the generalized integral transforms L4n, P4n, F-s, Fs,2n and Fc,2n

Dernek N., Olcucu E. O., AYLIKCI F.

APPLIED MATHEMATICS AND COMPUTATION, vol.269, pp.536-547, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 269
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.07.095
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.536-547
  • Yıldız Technical University Affiliated: Yes

Abstract

In the present paper, the authors consider several new integral transforms including the L-4n-transform, the P-4n-transform, the F-s,F-2n-transform and the F-c,F-2n-transform as generalizations of the classical Laplace transform, the classical Stieltjes transform, the classical Fourier sine transform and the classical Fourier cosine transform, respectively. Identities involving these transforms are given. Using this identities, a number of new Parseval-Goldstein type identities are obtained. Some examples are also given as illustrations of the results presented here. (C) 2015 Elsevier Inc. All rights reserved.