Evaluation of sums of products of Gaussian $q$-binomial coefficients with rational weight functions

Authors: TALHA ARIKAN, EMRAH KILIÇ, HELMUT PRODINGER

Abstract: 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.

Keywords: Gaussian $q$-binomial coefficients, Fibonomial coefficients, partial fraction decomposition, sum identities

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