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Search: authors:"Emrah Kılıç"

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Evaluation of various partial sums of Gaussian q-binomial sums

We present three new sets of weighted partial sums of the Gaussian q-binomial coefficients. To prove the claimed results, we will use q-analysis, Rothe’s formula and a q-version of the celebrated algorithm of Zeilberger. Finally we give some applications of our results to generalized Fibonomial sums.