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Combinatorial sums associated with balancing and Lucas-balancing polynomials

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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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
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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