In this study, we firstly examined the Horadam quaternions defined and studied by Halici and Karataş. Then, we used the Binet's formula to show some properties of the (p,q)-Fibonacci and Lucas quaternions. We also give some important identities including these quaternions. In this paper we have also contributed for the study of (p,q)-Fibonacci and Lucas quaternion sequence, deducing some of their identities using the Binet-style formula of Horadam quaternions. It is our intention to continue the study of this type of sequences, exploring some their applications in the science domain.
Generalized Fibonacci quaternion Generalized Lucas Sequence Lucas Number
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2020 |
Gönderilme Tarihi | 1 Mart 2020 |
Kabul Tarihi | 15 Mayıs 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 69 Sayı: 2 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.