New Properties and Identities for Fibonacci Finite Operator Quaternions

Nazlıhan Terzioğlu, Can Kızılateş and Wei-Shih Du
Additional contact information
Nazlıhan Terzioğlu: Department of Mathematics, Zonguldak Bülent Ecevit University, 67100 Zonguldak, Turkey
Can Kızılateş: Department of Mathematics, Zonguldak Bülent Ecevit University, 67100 Zonguldak, Turkey
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Mathematics, 2022, vol. 10, issue 10, 1-13

Abstract: In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we derive many identities related to Fibonacci finite operator quaternions by using the matrix representations.

Keywords: Fibonacci number; Fibonacci quaternion; finite operator; matrix representation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/10/1719/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/10/1719/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:10:p:1719-:d:817856

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().