On Bi-periodic Jacobsthal and Jacobsthal-Lucas Quaternions

Kubra Gul

Journal of Mathematics Research, 2019, vol. 11, issue 2, 44-52

Abstract: In this paper, we introduce the bi-periodic Jacobsthal and Jacobsthal-Lucas quaternions. We give the Binet formulas and the generating functions for these quaternions. We obtain some well-known identities such as the Cassini, Catalan and D’ocagne’s identities. Additionally, we give summation formulas and the relationships between bi-periodic Jacobsthal and Jacobsthal-Lucas quaternions.

Keywords: Jacobsthal sequence; Jacobsthal-Lucas sequence; generalized Jacobsthal sequence; quaternion (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:44

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