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https://hdl.handle.net/20.500.11851/1713| Title: | A proof of a conjecture of Marques and Trojovsky | Authors: | Kılıç, Emrah | Keywords: | Fibonomial coefficients Gaussian q-binomial coefficients q-calculus |
Publisher: | University of Miskolc | Source: | Kilic, E. (2014). A proof of a conjecture of Marques and Trojovsky. Miskolc Mathematical Notes, 15(2), 545-557. | Abstract: | In this paper, we consider Marques and Trojovsky's conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting it in terms of Gaussian q-binomial coefficients and q-Pochhammer symbols, we give a solution of the conjecture. The approach is to use q-analysis to prove the claimed formulas. | URI: | http://mat76.mat.uni-miskolc.hu/mnotes/article/556 https://hdl.handle.net/20.500.11851/1713 |
ISSN: | 1787-2405 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Marques and Trojovsky.pdf | 766 kB | Adobe PDF |  View/Open |
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