摘要

In this paper, two moment integrals are given by the method of transformation. In addition, generalizations of Sears's transformation are obtained by moment integrals. Moreover, certain q-Mehler formulas for Rogers-Szego polynomials are gained by moment integrals. Besides, an open problem of trilinear generating function is deduced by moment integrals. At last, generalizations of U(n + 1) type Kalnins-Miller transformation are achieved by moment integrals.