@article{article_582674, title={A note on hyperbolic (p,q)-Fibonacci quaternions}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={69}, pages={880–890}, year={2020}, DOI={10.31801/cfsuasmas.582674}, author={Yağmur, Tülay}, keywords={Fibonacci numbers,(p;q)-Fibonacci numbers,(p;q)-Fibonacci quaternions,hyperbolic quaternions,hyperbolic (p;q)-Fibonacci quaternions}, abstract={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.}, number={1}, publisher={Ankara University}