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Generalized k-Order Fibonacci Hybrid Quaternions      
Yazarlar
Doç. Dr. Kübra GÜL
Kafkas Üniversitesi, Türkiye
Özet
In this study, generalized k-order Fibonacci hybrid quaternion is defined. We give recurrence relation, generating function, the summation formula and some properties for these quaternions. Furthermore, the matrix representation for generalized k-order Fibonacci hybrid quaternions is determined. The Q_k matrix defined for k-order Fibonacci numbers is given for the generalized k-order Fibonacci hybrid quaternions. By the means of this matrix and another defined matrices, several identities of these quaternions are also obtained.
Anahtar Kelimeler
Fibonacci sequence,k-order Fibonacci sequence,hybrid numbers,quaternions.
Makale Türü Özgün Makale
Makale Alt Türü Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale
Dergi Adı Erzincan University Journal of Science and Technology
Dergi ISSN 2149-4584
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 08-2022
Cilt No 15
Sayı 2
Sayfalar 670 / 683
Doi Numarası 10.18185/erzifbed.1132164
Makale Linki http://dx.doi.org/10.18185/erzifbed.1132164
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 10
Generalized k-Order Fibonacci Hybrid Quaternions

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