On Quaternion Gaussian Bronze Fibonacci Numbers

Paula Catarino; Sandra Ricardo

doi:10.2478/amsil-2022-0013

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On Quaternion Gaussian Bronze Fibonacci Numbers

Annales Mathematicae Silesianae

Volume 36 (2022): Issue 2 (September 2022)

By: Paula Catarino and Sandra Ricardo

Open Access

|Sep 2022

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2022-0013 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 129 - 150

Submitted on: Nov 18, 2021

Accepted on: Jul 31, 2022

Published on: Sep 8, 2022

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Bronze Fibonacci numbers,

Gaussian Bronze Fibonacci numbers,

Related subjects:

© 2022 Paula Catarino, Sandra Ricardo, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 36 (2022): Issue 2 (September 2022)