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Title: Combinatorial sums associated with balancing and Lucas-balancing polynomials
Authors: Frontczak, Robert
Гой, Тарас Петрович
Keywords: Balancing polynomial
Lucas-balancing polynomial
balancing number
Fibonacci number.
Lucas number
Issue Date: Dec-2020
Citation: Frontczak R. Combinatorial sums associated with balancing and Lucas-balancing polynomials / R. Frontczak, T. Goy // Annales Mathematicae et Informaticae, 2020. - 52. - P. 97-105
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.
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