q-difference equations for Askey-Wilson type integrals via q-polynomials

In this paper, we show how to deduce Askey-Wilson type integrals by the method of q-difference equation. In addition, we construct the relation between bilinear generating functions and solutions of q-difference equation. More over, we generalize Bailey's ψ66 summation from the perspective of q-integral by the method of q-difference equation. At last, we deduce U(n+1) type generating functions for Al-Salam-Carlitz polynomials by the method of q-difference equation.