A note on hyperbolic (p,q)-Fibonacci quaternions
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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's 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.
Açıklama
Anahtar Kelimeler
Fibonacci Numbers, (p, q)-Fibonacci Numbers, (p, q)-Fibonacci Quaternions, Hyperbolic Quaternions, Hyperbolic (p, q)-Fibonacci Quaternions
Kaynak
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
69
Sayı
1
