FILOMAT, vol.31, pp.5567-5579, 2017 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Jacobsthal number, Jacobsthal-Lucas number, Jacobsthal quaternion, Jacobsthal-Lucas quaternion, COMPLEX FIBONACCI NUMBERS, DUAL QUATERNIONS, POLYNOMIALS
The Jacobsthal quaternions defined by Szynal-Liana and Wloch . In this paper, we defined some properties of Jacobsthal quaternions. Also, we investigated the relations between the Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers. Furthermore, we gave the Binet formulas and Cassini identities for these quaternions.