<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

On Quaternion Gaussian Bronze Fibonacci Numbers

University of Trás-os-Montes e Alto Douro

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Quaternion Gaussian Bronze Fibonacci Numbers"}

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...

On Quaternion Gaussian Bronze Fibonacci Numbers

Publicado en línea: 08 sept 2022

Páginas: 129 - 150

Recibido: 18 nov 2021

Aceptado: 31 jul 2022

DOI: https://doi.org/10.2478/amsil-2022-0013

Palabras clave
Bronze Fibonacci numbers, Gaussian Bronze Fibonacci numbers, quaternions, Generating function, Binet’s formula

© 2022 Paula Catarino et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Quaternion Gaussian Bronze Fibonacci Numbers

Publicado en línea: 08 sept 2022

Páginas: 129 - 150

Recibido: 18 nov 2021

Aceptado: 31 jul 2022

DOI: https://doi.org/10.2478/amsil-2022-0013

Palabras claveBronze Fibonacci numbers, Gaussian Bronze Fibonacci numbers, quaternions, Generating function, Binet’s formula

© 2022 Paula Catarino et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
Bronze Fibonacci numbers, Gaussian Bronze Fibonacci numbers, quaternions, Generating function, Binet’s formula