On Quaternion Gaussian Bronze Fibonacci Numbers
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Profilo Orcid
Sandra Ricardo
Department of Mathematics, University of Trás-os-Montes e Alto DouroPortugal
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08 set 2022
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 08 set 2022
Pagine: 129 - 150
Ricevuto: 18 nov 2021
Accettato: 31 lug 2022
DOI: https://doi.org/10.2478/amsil-2022-0013
Parole chiave
© 2022 Paula Catarino et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided. Tridiagonal matrices are considered to determine the general term of this sequence.