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https://hdl.handle.net/20.500.11851/1692| Title: | On Sums of Squares of Fibonomial Coefficients by Q-Calculus | Authors: | Kılıç, Emrah Yalçıner, Aynur |
Keywords: | Central Fibonomial coefficients q-analysis sums identities q-identities |
Publisher: | World Scientific Publishing Co. Pte Ltd | Source: | Kılıç, E., & Yalçıner, A. (2016). On sums of squares of Fibonomial coefficients by q-calculus. Asian-European Journal of Mathematics, 9(03), 1650062. | Abstract: | We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kili, c and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first we translate everything into q-notation, and then to use generating functions and Rothe's identity from classical q-calculus. | URI: | https://doi.org/10.1142/S1793557116500625 https://hdl.handle.net/20.500.11851/1692 |
ISSN: | 1793-5571 |
| 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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