A. D. Godase

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 3, Pages 176—188

DOI: 10.7546/nntdm.2020.26.3.176-188

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## Details

### Authors and affiliations

A. D. Godase

*Department of Mathematics, V. P. College Vaijapur
Aurangabad (MH), India*

### Abstract

In this paper, we introduce the hyperbolic *k*-Fibonacci and *k*-Lucas octonions. We present Binet’s formulas, Catalan’s identity, Cassini’s identity, d’Ocagne’s identity and generating functions for the k-Fibonacci and k-Lucas hyperbolic octonions.

### Keywords

- Fibonacci sequence
*k*-Fibonacci sequence*k*-Lucas sequence

### 2010 Mathematics Subject Classification

- 11B39
- 11B37

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## Cite this paper

Godase, A. D. (2020). Hyperbolic *k*-Fibonacci and *k*-Lucas octonions. Notes on Number Theory and Discrete Mathematics, 26 (3), 176-188, doi: 10.7546/nntdm.2020.26.3.176-188.