Identities for the E2,1-transform and their applications

In the present paper the authors introduce the E"2","1-transform with kernel the exponential integral function. It is shown that the third iterate of the L"2-transform is the exponential integral transform, and some identities involving the new transform, the L"2-transform and the Widder potential transform are given. Using the identities, Parseval-Goldstein type results involving these transforms are proved. Some illustrative examples are also given.