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https://hdl.handle.net/20.500.11851/3557| Title: | Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients | Authors: | Kılıç, Emrah Chu, Wenchang |
Keywords: | Basic hypergeometric series Fibonomial and Lucanomial coefficients Heine transformationq-Binomial coefficient q-Kummer sum q-Pfaff–Saalschutz summation formula |
Publisher: | Springer | Source: | Chu, W., and Kılıç, E. (2020). Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients. The Ramanujan Journal, 51(2), 229-243. | Abstract: | In this paper we evaluate quadratic sums of Gaussian q-binomial coefficients with two additional parameters. We obtain a general summation theorem using a combination of Heine’s transformation, the q-Pfaff–Saalschutz theorem and the q-Kummer sum. Consequently several identities for generalized Fibonomial–Lucanomial coefficients are obtained by specifying the parameter p and the base q. © 2018 Springer Science+Business Media, LLC, part of Springer Nature | URI: | https://hdl.handle.net/20.500.11851/3557 https://link.springer.com/article/10.1007/s11139-018-0023-x |
ISSN: | 13824090 |
| 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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