A New Approach to Dual Jacobsthal Split Quaternions with Different Polar Representation

In this paper, we introduce split quaternions with components including dual Jacobsthal and dual Jacobsthal- Lucas number sequences. By using Binet's formulas of these type split quaternions we give an explicit form of classic polar representations of them, after that we demonstrate a new polar representation by using Cayley-Dikson's notation of split quaternions which is based on two complex numbers. Some fundamental properties and identities for these type of split quaternions are studied. In further the current paper, it would be valuable to replicate similar approaches polar representationin with dual Jacobsthal Split quaternions.