Czechoslovak Mathematical Journal, Vol. 72, No. 4, pp. 1239-1248, 2022
On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative
Jacobsthal-Lucas quaternions
Dorota Bród, Anetta Szynal-Liana, Iwona Włoch
Received April 22, 2022. Published online September 12, 2022.
Abstract: 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.
Keywords: Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula