A note on hyperbolic (p,q)-Fibonacci quaternions

Authors : Tülay YAĞMUR

Pages : 880-890

Doi:10.31801/cfsuasmas.582674

View : 7 | Download : 5

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :In this paper, we introduce a new quaternion sequence called  hyperbolic insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(p,q);-Fibonacci  quaternions.
Keywords : Fibonacci numbers p, q, Fibonacci numbers p, q, Fibonacci quaternions, hyperbolic quaternions, hyperbolic p, q, Fibona