On Generalized Commutative Quaternions with Generalized Tetranacci Number Components

Yıl 2023, Cilt: 13 Sayı: 2, 309 - 315, 29.12.2023

Özge Arıbaş , Mustafa Yıldız

Öz

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.

Anahtar Kelimeler

Generalized quaternions, generalized Tetranacci numbers, quaternions, Tetranacci numbers

Etik Beyan

The authors declare that there is no conflict of interest.

Destekleyen Kurum

This research received no external funding.

Genelleştirilmiş Tetranacci Sayı Bileşenleri ile Genelleştirilmiş Komutatif Kuaterniyonlar Üzerine

Öz

Bu çalışmada, genelleştirilmiş Tetranacci sayı bileşenleri ile genelleştirilmiş komutatif kuaterniyonlar tanımlanmış ve incelenmiştir. Bu kuarternionlara ait Binet-benzeri formül ve toplam formülü gibi bazı cebirsel özellikler sunulmuştur. Ayrıca, bu genelleştirilmiş komutatif kuaterniyonların matris temsilcisi verilmiştir.

Anahtar Kelimeler

Genelleştirilmiş kuaterniyonlar, genelleştirilmiş Tetranacci sayıları, kuaterniyonlar, Tetranacci sayıları

Kaynakça

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