Properties of Generalized Commutative Third-order Jacobsthal Quaternions
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DOI: 10.1142/s1793557125501451
Abstract: Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative third-order Jacobsthal quaternions and generalized commutative modified third-order Jacobsthal quaternions.… read more here.
Keywords: order jacobsthal; generalized commutative; third order; jacobsthal quaternions ... See more keywords
Some results on dual third-order Jacobsthal quaternions
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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.… read more here.
Keywords: dual third; lucas; third order; order jacobsthal ... See more keywords
Higher-Order Jacobsthal-Lucas Quaternions
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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… read more here.
Keywords: jacobsthal lucas; lucas quaternions; higher order; order jacobsthal ... See more keywords