New identities involving the laplace and the ℒ2-transforms and their applications

摘要

In the present paper Parseval—Goldstein type theorems involving the ℒ2-transforms and the Laplace transform are proved. The theorems are then shown to yield a number of new identities involving several well-known integral transforms and special functions. Using the theorem and its corollaries, a number of interesting infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.