A generalization of the Widder potential transform and applications


DERNEK A. N. , KURT V., ŞİMŞEK Y., YÜREKLİ O.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol.22, no.6, pp.391-401, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 6
  • Publication Date: 2011
  • Doi Number: 10.1080/10652469.2010.513110
  • Title of Journal : INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Page Numbers: pp.391-401

Abstract

In the present paper, the authors consider the P(v,2)-transform as a generalization of the Widder potential transform and the Glasser transform. The P(v,2)-transform is obtained as an iteration of the L(2)-transform with itself. 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 proved in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given as illustration of the results presented here.