On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

Authors : Tülay Erişir, Mehmet Ali Güngör

Pages : 17-38

Doi:10.37094/adyujsci.1464592

View : 73 | Download : 87

Publication Date : 2024-06-28

Article Type : Research Paper

Abstract :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, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, the 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.
Keywords : Jacobsthal numbers, Jacobsthal Lucas numbers, Quaternions, Spinors