The Hadamard-type k-step Pell sequences
Yazarlar (3)
Prof. Dr. Ömür DEVECİ Kafkas Üniversitesi, Türkiye
Doç. Dr. Yeşim AKÜZÜM ÖZEN Kafkas Üniversitesi, Türkiye
Muhammad Eshaq Rashedi
| 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 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2022 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 10-06-2022 |
| Cilt / Sayı / Sayfa | 28 / 2 / 339–349 | DOI | 10.7546/nntdm.2022.28.2.339-349 |
| Makale Linki | http://dx.doi.org/10.7546/nntdm.2022.28.2.339-349 | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| In this paper, we define the Hadamard-type k-step Pell sequence by using the Hadamard-type product of characteristic polynomials of the Pell sequence and the k-step Pell sequence. Also, we derive the generating matrices for these sequences, and then we obtain relationships between the Hadamard-type k-step Pell sequences and these generating matrices. Furthermore, we produce the Binet formula for the Hadamard-type k-step Pell numbers for the case that k is odd integers and k ≥ 3. Finally, we derive some properties of the Hadamard-type k-step Pell sequences such as the combinatorial representation, the generating function, and the exponential representation by using its generating matrix. |
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