Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions

2015/05/07 by Diana Savin, Savin, Diana
Mathematics · Physics and Astronomy · #11B39 #11R52 #17D99 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CO #math.RA #msc:11B39 #msc:11R52 #msc:17D99

paper · pdf · doi:10.48550/arxiv.1505.01770

openalex publication_date 2015/05/07 · arxiv created 2015/06/12 · arxiv updated 2015/06/15 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.

Citations

• Some properties of the symbol algebras
• Complex Fibonacci Numbers and Fibonacci Quaternions
• A Generalized Fibonacci Sequence

Related

• The Bi-periodic Fibonacci Octonions
• Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences
• The generalized bi-periodic Fibonacci quaternions and octonions
• Fibonacci Numbers, Golden Section and Applications
• Some applications of Fibonacci and Lucas numbers