On Generalized Commutative Quaternions with Generalized Tetranacci Number Components

Authors : Özge Aribaş, Mustafa Yildiz

Pages : 309-315

Doi:10.7212/karaelmasfen.1359322

View : 66 | Download : 79

Publication Date : 2023-12-29

Article Type : Research Paper

Abstract :In this article, generalized commutative quaternions with generalized Tetranacci number components were introduced and studied. Then, we presented some algebraic properties of these quaternions, such as a Binet-like formula and the summation formula. Furthermore, the matrix representation of these generalized commutative quaternions was given.
Keywords : Genelleştirilmiş kuaterniyonlar, genelleştirilmiş Tetranacci sayıları, kuaterniyonlar, Tetranacci sayıları