| Yazarlar |
Seyyed Hossein Jafari Petroudi
|
|
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
|
Maryam Pirouz
|
| Özet |
| This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas sequences. In particular, great attention is focused on the identification of the Binet type representations for our new sequence, including the generating functions, some important identities, and generating matrix. Finally, we consider the circulant matrix whose entries are Jacobsthal–Narayana sequence and present an appropriate formula to find eigenvalues of that matrix. |
| Anahtar Kelimeler |
| Binet formula | Circulant matrix | Jacobsthal–Narayana sequence | Third-order sequence, Vajda identity |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Konuralp Journal of Mathematics |
| Dergi ISSN | 2147-625X |
| Dergi Tarandığı Indeksler | Scopus |
| Makale Dili | Türkçe |
| Basım Tarihi | 05-2024 |
| Cilt No | 12 |
| Sayı | 1 |
| Sayfalar | 55 / 61 |
| Makale Linki | https://dergipark.org.tr/en/pub/konuralpjournalmath/issue/84314/1215445 |
