  In this paper, we use the generalized q-polynomials with double q-binomial
coefficients and homogeneous q-operators [J. Difference Equ. Appl. 20 (2014),
837--851.] to construct q-difference equations with seven variables, which
generalize recent works of Jia et al [Symmetry 2021, 13, 1222.]. In addition,
we derive Rogers formulas, extended Rogers formulas and Srivastava--Agarwal
type bilinear generating functions for generalized q-polynomials, which
generalize generating functions for Cigler's polynomials [J. Difference Equ.
Appl. 24 (2018), 479--502.]. Finally, we also derive mixed generating functions
using q-difference equations.
