Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums

Authors : Emrah Kiliç, Helmut Prodinger

Pages : 707-716

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Sums of products of two Gaussian $q$-binomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting applications of these results to certain generalized Fibonomial and Lucanomial sums are provided.
Keywords : Gaussian $q$-binomial coefficients, Fibonomial coefficients, Lucanomial coefficients, sum identities