Some q-generating functions and associated generalized hypergeometric polynomials

The main object of this paper is to present a systematic investigation of various families of generating functions and other related results involving hypergeometric and q-hypergeometric polynomials. The authors especially consider several general classes of bilinear, bilateral, or mixed multilateral generating functions for many of the classical orthogonal polynomials (and for some of their relatives). Numerous (known or new) special cases of the results presented in this paper are also indicated.