On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.
(English).Czechoslovak Mathematical Journal,
vol. 72
(2022),
issue 4,
pp. 1239-1248
Keywords: Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula
Summary: We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.