On generalized order-k Modified Pell and Pell-Lucas numbers in terms of Fibonacci and Lucas numbers
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR 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 Dergi Bilgileri (2020) | ||
| Dergi Tarandığı Indeksler | E-SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-07-2020 |
| Cilt / Sayı / Sayfa | 26 / 2 / 205–212 | DOI | 10.7546/nntdm.2020.26.2.205-212 |
| Makale Linki | http://nntdm.net/papers/nntdm-26/NNTDM-26-2-205-212.pdf | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This study shows that the generalized order-k Pell–Lucas and Modified Pell numbers can be expressed in terms of the well-known Fibonacci numbers. Certain n-square Hessenberg matrices with permanents equal to the Fibonacci numbers are defined. These Hessenberg matrices are then extended to super-diagonal (0, 1, 2)-matrices. In particular, the permanents of the super-diagonal matrices are shown to equal the components of the generalized order-k Pell–Lucas and Modified Pell numbers, and also their sums. In addition, two computer algorithms regarding our results are composed. |
| Anahtar Kelimeler |
| Fibonacci number | Hessenberg matrix | Generalized modified Pell numbers | Super-diagonal matrix | Permanent |
BM Sürdürülebilir Kalkınma Amaçları
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| Google Scholar | 2 |