Frontczak, Robert and Goy, Taras (2020) Combinatorial sums associated with balancing and Lucas-balancing polynomials. Annales Mathematicae et Informaticae, 52. pp. 97-105. ISSN 1787-6117
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Official URL: https://doi.org/10.33039/ami.2020.10.002
Abstract
The aim of the paper is to use some identities involving binomial coefficients to derive new combinatorial identities for balancing and Lucas-balancing polynomials. Evaluating these identities at specific points, we can also establish some combinatorial expressions for Fibonacci and Lucas numbers.
| Item Type: | Article |
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| Uncontrolled Keywords: | Balancing polynomial, Lucas-balancing polynomial, balancing number, Fibonacci number, Lucas number |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 17 Dec 2020 17:16 |
| Last Modified: | 03 Apr 2023 07:05 |
| URI: | http://real.mtak.hu/id/eprint/118490 |
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