Some Parseval-Goldstein type identities involving the F-S,F-2-transform, the F-C,F-2-transform and the P-4-transform and their applications


DERNEK A. N. , SRIVASTAVA H. M. , YÜREKLİ O.

APPLIED MATHEMATICS AND COMPUTATION, cilt.202, sa.1, ss.327-337, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 202 Konu: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.amc.2008.02.020
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.327-337

Özet

In the present paper the authors consider several new integral transforms including the F-S,F-2-transform, the F-C,F-2-transform and the P-4-transform as generalizations of the classical Fourier sine transform, the classical Fourier cosine transform, and the classical Stieltjes transform, respectively. Many identities involving these transforms are given. By making use of these identities, a number of new Parseval-Goldstein type identities are obtained for these and many other well-known integral transforms. The identities proven in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given as illustrations of the results presented here. (C) 2008 Elsevier Inc. All rights reserved.