2024/02/16 by Selime Beyza Özçevik, Özçevik, Selime Beyza, Abdullah Dertli +1
Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Mathematical Theories and Applications #Experimental and Theoretical Physics Studies #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2403.14632
openalex publication_date 2024/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this study, novel Hyperbolic spinor sequences of Jacobsthal, Jacobsthal-Lucas and Jacobsthal polynomial, which have not been studied before, are defined by investigating the relationship between spinors, which are important mathematical objects used in physics and mathematics, and split Jacobsthal and split Jacobsthal-Lucas quaternions, which are extensions of the known Jacobsthal and Jacobsthal-Lucas numbers to quaternion algebra. The recurrence relations of sequences whose members are Hyperbolic Jacobsthal, Jacobsthal-Lucas and Jacobsthal polynomial spinors are described. Additionally, certain properties of these spinors, such as the generator function and Binet formula, are presented and some identities resulting from these spinors are obtained.