@article{article_434543, title={On fourth-order jacobsthal quaternions}, journal={Journal of Mathematical Sciences and Modelling}, volume={1}, pages={73–79}, year={2018}, DOI={10.33187/jmsm.434543}, author={Cerda-morales, Gamaliel}, keywords={Fourth-order Jacobsthal number,Jacobsthal number,quaternion,Recurrence relation}, abstract={<p style="text-align:justify;"> <font face="Times New Roman, Times, serif" size="3">In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions. This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2]. </font> <br /> </p>}, number={2}, publisher={Mahmut AKYİĞİT}