Analysis reveals new properties and relations of generalized commutative third-order Jacobsthal quaternions, emphasizing their significance.
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. Furthermore, we present some properties of these numbers and relations between them.
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Gamaliel Morales (2025) studied this question.
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