Dual third-order Jacobsthal quaternions.
Keywords:
Third-order Jacobsthal number, third-order Jacobsthal-Lucas number, third-order Jacobsthal quaternions, third-order Jacobsthal-Lucas quaternions, dual quaternionAbstract
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their quadratic properties, the summations, the Binet’s formulas and Cassini-like identities for these quaternions.
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