Czechoslovak Mathematical Journal

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

Classification MSC: 11B37, 11B39

DOI: 10.21136/CMJ.2022.0174-22

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Dorota Bród (corresponding author), Anetta Szynal-Liana, Iwona Włoch, Rzeszów University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, Poland, e-mail: dorotab@prz.edu.pl, aszynal@prz.edu.pl, iwloch@prz.edu.pl

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