Generalized k-Order Fibonacci Hybrid Quaternions
Yazarlar (1)
Doç. Dr. Kübra GÜL Kafkas Üniversitesi, Türkiye
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Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
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| Dergi Adı | Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi | ||
| Dergi ISSN | 1307-9085 | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2022 |
| Cilt / Sayı / Sayfa | 15 / 2 / 670–683 | DOI | 10.18185/erzifbed.1132164 |
| Makale Linki | http://dx.doi.org/10.18185/erzifbed.1132164 | ||
| 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. |
BM Sürdürülebilir Kalkınma Amaçları
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| Google Scholar | 15 |