Dual Jacobsthal Quaternions

Year 2020, Volume: 3 Issue: 3, 130 - 142, 29.09.2020

Fügen TORUNBALCI AYDIN

https://doi.org/10.33434/cams.680381

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

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