In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions. This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2].
Fourth-order Jacobsthal number Jacobsthal number quaternion Recurrence relation
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 30 Eylül 2018 |
Gönderilme Tarihi | 18 Haziran 2018 |
Kabul Tarihi | 2 Ağustos 2018 |
Yayımlandığı Sayı | Yıl 2018 |
Journal of Mathematical Sciences and Modelling
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