Abstract

In this paper, dual-complex Jacobsthal quaternions are defined. Also, some algebraic properties of dual-complex Jacobsthal quaternionswhich are connected with dual-complex numbers and Lucas numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne'sidentity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions and their real representations are given.............................................................................................................................................

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