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Title: Combinatorial properties of Boubaker polynomials
Authors: Гой, Тарас Петрович
Keywords: Boubaker polynomial
Toeplitz-Hessenberg matrix
Toeplitz-Hessenberg determinant
multinomial coefficient
Issue Date: 2020
Citation: Goy, T. Combinatorial properties of Boubaker polynomials / T. Goy // Mathematical Problem of Engineering. – 2020. – 2020. – Article ID 1528639.
Abstract: In this paper, we evaluate several families of Toeplitz-Hessenberg determinants whose entries are the Boubaker polynomials. Equivalently, these determinant formulas may be also rewritten as combinatorial identities involving sum of products of Boubaker polynomials and multinomial coefficients. We also present new formulas for Boubaker polynomials via recurrent threediagonal determinants.
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