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 26, 2020, Number 3, Pages 176—188
DOI: 10.7546/nntdm.2020.26.3.176-188
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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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