The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach.
Chebyshev polynomials of second kind
Determinant
Horadam sequence
Tridiagonal matrices
Journal
Heliyon
ISSN: 2405-8440
Titre abrégé: Heliyon
Pays: England
ID NLM: 101672560
Informations de publication
Date de publication:
Feb 2022
Feb 2022
Historique:
received:
05
03
2021
revised:
25
04
2021
accepted:
25
01
2022
entrez:
16
2
2022
pubmed:
17
2
2022
medline:
17
2
2022
Statut:
epublish
Résumé
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.
Identifiants
pubmed: 35169643
doi: 10.1016/j.heliyon.2022.e08863
pii: S2405-8440(22)00151-7
pmc: PMC8829576
doi:
Types de publication
Journal Article
Langues
eng
Pagination
e08863Informations de copyright
© 2022 The Author(s).
Déclaration de conflit d'intérêts
The authors declare no conflict of interest.
Références
Heliyon. 2021 Aug 13;7(8):e07764
pubmed: 34458611