Evaluation of various partial sums of Gaussian q-binomial sums

Abstract

Abstract 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.

Keywords

• 11B65
• 05A30