On the Split (s, t)-Padovan and (s, t)-Perrin Quaternions

Dişkaya, Orhan | Menken, Hamza

In this paper we consider the generalization of Padovan and Perrin quaternions. We define the split (s, t)-Padovan and (s, t)- Perrin quaternions which generalize Padovan and Perrin quaternions. We derive the Binet-like formulas for the split (s, t)-Padovan and (s, t)-Perrin quaternions. We establish their generating functions. Also, we obtain certain binomial sums regarding the split (s, t)- Padovan and (s, t)-Perrin quaternions.