Some new properties of hyperbolic k-Fibonacci and k-Lucas octonions

A. D. Godase
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 30, 2024, Number 1, Pages 100–110
DOI: 10.7546/nntdm.2024.30.1.100-110
Full paper (PDF, 218 Kb)

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Authors and affiliations

A. D. Godase
Department of Mathematics, V. P. College Vaijapur
Aurangabad (MS), India

Abstract

The aim of this paper is to establish some novel identities for hyperbolic k-Fibonacci octonions and k-Lucas octonions. We prove these properties using the identities of k-Fibonacci and k-Lucas numbers, which we determined previously.

Keywords

• Fibonacci number
• Lucas number
• k-Fibonacci number
• k-Lucas number

2020 Mathematics Subject Classification

• Primary: 11B39
• Secondary: 11B37, 11B52

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Manuscript history

• Received: 21 October 2023
• Revised: 15 December 2024
• Accepted: 26 February 2024
• Online First: 1 March 2024

Copyright information

Ⓒ 2024 by the Author.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).