<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

Published Online: Sep 08, 2022

Page range: 129 - 150

Received: Nov 18, 2021

Accepted: Jul 31, 2022

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

Keywords
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

Published Online: Sep 08, 2022

Page range: 129 - 150

Received: Nov 18, 2021

Accepted: Jul 31, 2022

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

KeywordsBronze 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.

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