<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

Data publikacji: 08 wrz 2022

Zakres stron: 129 - 150

Otrzymano: 18 lis 2021

Przyjęty: 31 lip 2022

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

Słowa kluczowe
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

Data publikacji: 08 wrz 2022

Zakres stron: 129 - 150

Otrzymano: 18 lis 2021

Przyjęty: 31 lip 2022

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

Słowa kluczoweBronze 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.

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