| Yazarlar (3) |
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye |
|
Hossen Mohammed Mahdi Ahmed
|
| Özet |
| The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors. In this paper, we explain that all of these studies used an incorrect version of order-k Jacobsthal numbers for reasons and give the correct definition of order-k Jacobsthal numbers. Further, we introduce the compatible generalized order-k Jacobsthal-Lucas numbers with the generalized order-k Jacobsthal numbers. Next, we give some properties of order-k Jacobsthal numbers and order-k Jacobsthal-Lucas numbers, including generating matrix, generalized Binet’s formula, and elementary matrix identities. Further, we investigate specific examples for our results and give special identities, i.e., sum formula and interrelationships between these sequences. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale |
| Dergi Adı | Fundamentals of Contemporary Mathematical Sciences |
| Dergi ISSN | 2717-6185 |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | Türkçe |
| Basım Tarihi | 01-2025 |
| Cilt No | 6 |
| Sayı | 1 |
| Sayfalar | 19 / 33 |
| Doi Numarası | 10.54974/fcmathsci.1394995 |
| Makale Linki | https://doi.org/10.54974/fcmathsci.1394995 |
| Atıf Sayıları |
