| Yazarlar (2) |
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye |
| Özet |
| In this study, we introduce a new class of quaternions associated with the well-known Mersenne numbers. There are many studies about the quaternions with special integer sequences and their generalizations. All of these studies used consecutive elements of the considered sequences. Here, we extend the usual definitions into a wider structure by using arbitrary Mersenne numbers. Moreover, we present Gaussian Mersenne numbers. In addition, we give some properties of this type of quaternions and Gaussian Mersenne numbers, including generating function and Binet-like formula. |
| Anahtar Kelimeler |
| Mersenne quaternions | Generating function | Binet's formula | Gaussian Mersenne numbers | Catalan's identity |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS |
| Dergi ISSN | 1310-5132 Wos Dergi |
| Dergi Tarandığı Indeksler | E-SCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2019 |
| Cilt No | 25 |
| Sayı | 3 |
| Sayfalar | 87 / 96 |
| Doi Numarası | 10.7546/nntdm.2019.25.3.87-96 |
| Atıf Sayıları | |
| WoS | 14 |
| Google Scholar | 20 |
