  In this short paper, we show how to deduce several types of generating
functions from Srivastava {\it et al} [Appl. Set-Valued Anal. Optim. {\bf 1}
(2019), pp. 187-201.] by the method of $q$-difference equations. Moreover, we
build relations between transformation formulas and homogeneous $q$-difference
equations.
