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Published in 2019 at "Filomat"
DOI: 10.2298/fil1907865c
Abstract: 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.…
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Keywords:
dual third;
lucas;
third order;
order jacobsthal ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11120671
Abstract: In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s…
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Keywords:
jacobsthal lucas;
lucas quaternions;
higher order;
order jacobsthal ... See more keywords