Dual-complex Jacobsthal Quaternions

Year 2020, Volume: 8 Issue: 2, 145 - 156, 15.10.2020

Fügen Torunbalcı Aydın

https://doi.org/10.36753/mathenot.621169

Abstract

In this paper, dual-complex Jacobsthal quaternions are defined. Also, some algebraic properties of dual-complex Jacobsthal quaternions

which are connected with dual-complex numbers and Lucas numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's

identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions and their real representations are given.

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Keywords

Dual number, dual-complex number, Jacobsthal number, dual-complex Jacobsthal number, Jacobsthal quaternion

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