Generalized q-Difference Equations for q-Hypergeometric Polynomials with Double q-Binomial Coefficients

In this paper, we apply a general family of basic (or q-) polynomials with double q-binomial coefficients as well some homogeneous q-operators in order to construct several q-difference equations involving seven variables. We derive the Rogers type and extended formulas Srivastava-Agarwal-type bilinear generating functions for q-polynomials, which generalize Cigler polynomials. also class mixed by means aforementioned equations. The various results, have derived are new sufficiently character. Moreover, presented here potentially applicable not only study they generated, but indeed finding solutions associated Finally, remark that it will be rather trivial inconsequential exercise produce so-called (p,q)-variations q-results, investigated here, because additional forced-in parameter p is obviously redundant.