Gaussian Mersenne numbers and Generalized Mersenne quaternions
Yazarlar (2)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
Prof. Dr. Göksal BİLGİCİ Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| 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 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 30-09-2019 |
| Cilt / Sayı / Sayfa | 25 / 3 / 87–96 | DOI | 10.7546/nntdm.2019.25.3.87-96 |
| Makale Linki | http://nntdm.net/papers/nntdm-25/NNTDM-25-3-087-096.pdf | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 14 |
| Google Scholar | 24 |