The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach

In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.

Detalles Bibliográficos
Autores principales: Anđelić, Milica, da Fonseca, Carlos M., Yılmaz, Fatih
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8829576/
https://www.ncbi.nlm.nih.gov/pubmed/35169643
http://dx.doi.org/10.1016/j.heliyon.2022.e08863
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author Anđelić, Milica
da Fonseca, Carlos M.
Yılmaz, Fatih
author_facet Anđelić, Milica
da Fonseca, Carlos M.
Yılmaz, Fatih
author_sort Anđelić, Milica
collection PubMed
description In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.
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spelling pubmed-88295762022-02-14 The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach Anđelić, Milica da Fonseca, Carlos M. Yılmaz, Fatih Heliyon Research Article In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well. Elsevier 2022-02-02 /pmc/articles/PMC8829576/ /pubmed/35169643 http://dx.doi.org/10.1016/j.heliyon.2022.e08863 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Anđelić, Milica
da Fonseca, Carlos M.
Yılmaz, Fatih
The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title_full The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title_fullStr The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title_full_unstemmed The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title_short The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
title_sort bi-periodic horadam sequence and some perturbed tridiagonal 2-toeplitz matrices: a unified approach
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8829576/
https://www.ncbi.nlm.nih.gov/pubmed/35169643
http://dx.doi.org/10.1016/j.heliyon.2022.e08863
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