In this paper, we introduce a new quaternion sequence called hyperbolic (p,q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal, hyperbolic k-Jacobsthal quaternions. We give generating function and Binet formula for these quaternions. We also obtain some identities such as d'Ocagne's, Catalan's and Cassini's identities involving hyperbolic (p,q)-Fibonacci quaternions.
Fibonacci numbers (p;q)-Fibonacci numbers (p;q)-Fibonacci quaternions hyperbolic quaternions hyperbolic (p;q)-Fibonacci quaternions
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2020 |
Gönderilme Tarihi | 26 Haziran 2019 |
Kabul Tarihi | 24 Şubat 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 69 Sayı: 1 |
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.