ON THE (s, t)-PADOVAN AND (s, t)-LUCAS-PADOVAN QUATERNIONS AND THEIR MATRIX SEQUENCES

Abstract

In this paer, we introduce the (s, t)-Lucas-Padovan quaternions which generalizes Padovan and Lucas- Padovan quaternions. We derive the Binet-like formula and generating function for the (s, t)-Lucas-Padovan quater- nions. Also, we obtain certain binomial sums regarding the (s, t)-Padovan and (s, t)-Lucas-Padovan quaternions. (s, t)-Padovan, (s, t)-Lucas-Padovan, quaternions, matrix sequences