# Evaluation of various partial sums of Gaussian q-binomial sums

Arabian Journal of Mathematics, Dec 2017

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. Open image in new window

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Emrah Kılıç. Evaluation of various partial sums of Gaussian q-binomial sums, Arabian Journal of Mathematics, 2017, 101-112, DOI: 10.1007/s40065-017-0191-3