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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
A note on hyperbolic (p,q)-Fibonacci quaternions

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

Pages : 880-890

View : 34 | Download : 9

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

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