Dual Jacobsthal Quaternions

Abstract

In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne's identity, Cassini's identity and Catalan's identity for these quaternions were given.

Keywords

• jacobsthal number
• jacobsthal-lucas number
• jacobsthal quaternion
• dual jacobsthal quaternion