Özet:
In this study, two new spinor sequences using spinor representations of Jacobsthal and
Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini,
summation formulas and generating functions of these spinor sequences, which are called as
Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, some relationships
between Jacobsthal and Jacobsthal-Lucas spinors are obtained. Therefore, an easier and more
interesting representation of Jacobsthal and Jacobsthal-Lucas quaternions, which are
generalization of Jacobsthal and Jacobsthal-Lucas number sequences, are obtained. We believe
that these new spinor sequences will be useful and advantageable in many branches of science,
such as geometry, algebra and physics.
