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https://hdl.handle.net/20.500.11851/4140| Title: | Q-Binomial Formulae of Dixon`s Type and the Fibonomial Sums |
| Authors: | Chu, Wenchang Kılıç, Emrah |
| Keywords: | Basic hypergeometric series Gaussian q-binomial coefficient q-Dixon sum Fibonomial coefficient |
| Publisher: | University of Belgrade, School of Electrical Engineering |
| Source: | Chu, W., & Kılıç, E. (2020). Q-binomial formulae of Dixon's type and the Fibonomial sums. Applicable Analysis and Discrete Mathematics, 14(2), 335-348. |
| Abstract: | Cubic sums of the Gaussian q-binomial coefficients with certain weight functions will be evaluated in this paper. To realize this, we will derive two remarkable formulae by means of the Carlitz-Sears transformation on terminating well-poised q-series. As consequences, several summation formulae on Fibonomial coefficients are presented by specializing the value of base q in our q-series identities. |
| URI: | https://hdl.handle.net/20.500.11851/4140 https://doi.org/10.2298/AADM190406016C |
| ISSN: | 1452-8630 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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