Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

Dual-Complex Jacobsthal Quaternions

Dual-Complex Jacobsthal Quaternions

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Sayfa
145–156
DOI
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Abstract

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