On the Solutions of Quaternion Difference Equations in Terms of Generalized Fibonacci-Type Numbers
Yazarlar (1)
Doç. Dr. Kübra GÜL Kafkas Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | SYMMETRY-BASEL (Q2) | ||
| Dergi ISSN | 2073-8994 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2022 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 18-10-2022 |
| Cilt / Sayı / Sayfa | 14 / 10 / 2190–0 | DOI | 10.3390/sym14102190 |
| Makale Linki | http://dx.doi.org/10.3390/sym14102190 | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
Uygulamalı Matematik
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| Özet |
| The aim of this paper is to investigate the solution of the following difference equation zn+1=(pn)−1,n∈N0,N0=N∪0 where pn=a+bzn+czn−1zn with the parameters a, b, c and the initial values z−1,z0 are nonzero quaternions such that their solutions are associated with generalized Fibonacci-type numbers. Furthermore, we deal with the solutions to the following symmetric system of difference equations given by zn+1=(qn)−1,wn+1=(rn)−1,n∈N0 where qn= a+bwn+czn−1wn and rn=a+bzn+cwn−1zn. We provide the solution to the third-order quaternion linear difference equation in terms of the zeros of the characteristic polynomial associated with the linear difference equation. |
| Anahtar Kelimeler |
| quaternion difference equation | solution of difference equation | recurrence sequence |
BM Sürdürülebilir Kalkınma Amaçları
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| Web of Science | 1 |
| Google Scholar | 1 |