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Some results on dual third-order Jacobsthal quaternions
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Dual Fibonacci and dual Lucas numbers are defined with dual Fibonacci and
Lucas quaternions in Nurkan and G?ven [14]. In this study, we define the
dual third-order Jacobsthal quaternion and the dual third-order
Jacobsthal-Lucas quaternion. We derive the relations between the dual
third-order Jacobsthal quaternion and dual third-order Jacobsthal-Lucas
quaternion which connected the third-order Jacobsthal and third-order
Jacobsthal-Lucas numbers. In addition, we give the generating functions, the
Binet and Cassini formulas for these new types of quaternions.
Title: Some results on dual third-order Jacobsthal quaternions
Description:
Dual Fibonacci and dual Lucas numbers are defined with dual Fibonacci and
Lucas quaternions in Nurkan and G?ven [14].
In this study, we define the
dual third-order Jacobsthal quaternion and the dual third-order
Jacobsthal-Lucas quaternion.
We derive the relations between the dual
third-order Jacobsthal quaternion and dual third-order Jacobsthal-Lucas
quaternion which connected the third-order Jacobsthal and third-order
Jacobsthal-Lucas numbers.
In addition, we give the generating functions, the
Binet and Cassini formulas for these new types of quaternions.
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