On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences
Yazarlar (3)
Seyyed Hossein Jafari Petroudi Payame Noor University, İran
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
Maryam Pirouz University Of Guilan, İran
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Konuralp Journal of Mathematics | ||
| Dergi ISSN | 2147-625X Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | Türkçe | Basım Tarihi | 05-2024 |
| Cilt / Sayı / Sayfa | 12 / 1 / 55–61 | DOI | – |
| Makale Linki | https://dergipark.org.tr/en/pub/konuralpjournalmath/issue/84314/1215445 | ||
| Özet |
| This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana 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 |
