Certain bilinear generating relations for q -analogue of I -function

The author presents a comprehensive analysis of some bilinear generating relations pertaining the q-polynomial class and the q-analogue of the I-function. The related conclusions for q-polynomials of q-Laguerre, q-Jacobi polynomials, and so on are very simple to derive as particular or limiting examples of the generating functions provided here. It is also presented various generalized integrals related to q-polynomials and Iq-function. Furthermore, we obtain several results as extensions of these evaluations.