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https://hdl.handle.net/20.500.11851/1694| Title: | Closed Form Evaluation of Sums Containing Squares of Fibonomial Coefficients | Authors: | Kılıç, Emrah Prodinger, Helmut |
Keywords: | central Fibonomial coefficients q-analysis sums identities |
Publisher: | De Gruyter Open Ltd | Source: | Kiliç, E., & Prodinger, H. (2016). Closed form evaluation of sums containing squares of Fibonomial coefficients. Mathematica Slovaca, 66(3), 757-767. | Abstract: | We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. The technique is to rewrite everything in terms of a variable q, and then to use generating functions and Rothe's identity from classical q-calculus. (C) 2016 Mathematical Institute Slovak Academy of Sciences | URI: | https://hdl.handle.net/20.500.11851/1694 | ISSN: | 0139-9918 |
| 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 | |
|---|---|---|---|---|
| Central-Fibonomials.pdf | 255.33 kB | Adobe PDF |  View/Open |
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