Evaluation of various partial sums of Gaussian q-binomial sums
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 Fibono...
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| Format: | Article |
| Language: | English |
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Springer
2017-12-01
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| Series: | Arabian Journal of Mathematics |
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| Online Access: | http://link.springer.com/article/10.1007/s40065-017-0191-3 |