A generalization of the Widder potential transform and applications.

In the present paper, the authors consider the Pν, 2-transform as a generalization of the Widder potential transform and the Glasser transform. The Pν, 2-transform is obtained as an iteration of the L2-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. [ABSTRACT FROM AUTHOR]