Cilt:69 Sayı:01 (2020)

Permanent URI for this collection

https://dspace.ankara.edu.tr/handle/20.500.12575/75966

Browse

Browsing Cilt:69 Sayı:01 (2020) by Subject "(p;q)-Fibonacci numbers"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    A note on hyperbolic (p,q)-Fibonacci quaternions
    (Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Yağmur, Tülay; Other; Other
    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.