Dual third-order Jacobsthal quaternions.
Author
Cerda-Morales, Gamaliel
Abstract
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their quadratic properties, the summations, the Binet’s formulas and Cassini-like identities for these quaternions.
Metadata
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
A note on modified third-order Jacobsthal numbers
Cerda-Morales, Gamaliel. Proyecciones (Antofagasta, On line); Vol 39 No 2 (2020); 409-420 -
Dual third-order Jacobsthal quaternions.
Cerda-Morales, Gamaliel. Proyecciones. Journal of Mathematics; Vol 37 No 4 (2018); 731-747 -
Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems
Almuthaybiri, Saleh S.; Jonnalagadda, Jagan Mohan; Tisdell, Christopher C.. CUBO, A Mathematical Journal; Vol. 23 No. 3 (2021); 441–455