New identities on some generalized integral transforms and their applications

Fatih Aylikci, Nese Dernek, Gulesin Balaban

In this paper the authors gave an iteration identity for the generalized Laplace transform L 2n and the generalized Glasser transform G 2n. Using this identity a Parseval-Goldstein type theorem for the L 2n-transform and the G 2n-transform is given. By making use of these results 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.