Generalizing earlier results, sums over the products of the Gaussian $q$-binomial coefficients are computed. Some applications of the results for special choices of $q$ are emphasized. The results are obtained by the elementary technique of partial fraction decomposition.
Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions
ARIKAN, TALHA; KILIÇ, EMRAH; and PRODINGER, HELMUT
"Evaluation of sums of products of Gaussian $q$-binomial coefficients with rational weight functions,"
Turkish Journal of Mathematics: Vol. 44:
1, Article 21.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss1/21