Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On higher order Fibonacci quaternions

On higher order Fibonacci quaternions In this paper, with the help of higher order Fibonacci numbers, we introduce higher order Fibonacci quaternions that generalize the Fibonacci quaternions studied by Horadam and Halıcı. We give recurrence relation, Binet formula, generating and exponential generating functions and some other algebraic properties of higher order Fibonacci quaternions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

On higher order Fibonacci quaternions

The Journal of Analysis , Volume 29 (4) – Dec 1, 2021

Loading next page...
 
/lp/springer-journals/on-higher-order-fibonacci-quaternions-HKRba0HIuf

References (21)

Publisher
Springer Journals
Copyright
Copyright © Forum D'Analystes, Chennai 2021
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-020-00295-1
Publisher site
See Article on Publisher Site

Abstract

In this paper, with the help of higher order Fibonacci numbers, we introduce higher order Fibonacci quaternions that generalize the Fibonacci quaternions studied by Horadam and Halıcı. We give recurrence relation, Binet formula, generating and exponential generating functions and some other algebraic properties of higher order Fibonacci quaternions.

Journal

The Journal of AnalysisSpringer Journals

Published: Dec 1, 2021

Keywords: Fibonacci quaternions; Higher order Fibonacci quaternions; Recurrence relation; Generating functions; 11B39; 11R52; 05A15

There are no references for this article.