arXiv subjects

Selime Beyza Özçevik

Publications and source records attributed to Selime Beyza Özçevik.

3 recordsLinked to original sources

arXiv2025

Cartan Horadam Spinors

Number sequences with wide-ranging applications in mathematics, physics, medicine, and engineering remain an active research topic. This study examines these sequences through the general framework of Horadam numbers and their special cases associated with Cartan numbers. By defining spinor transformations on the resulting structures, new types of spinors are introduced and their key properties are analyzed. The proposed approach bridges distinct yet contemporary research areas, contributing to a broader interdisciplinary perspective.

math.RA↗

arXiv2024

Fibonacci-Lucas Spinors Obtained from Hybrid Numbers

The aim of this work is to provide the contributors to journals or Hybrid numbers, akin to spinors, possess a broad range of applications in mathematical physics, geometry, and mathematics. In this study, these two significant topics were collectively addressed, introducing a new perspective to spinors and defining hybrid spinors, from which several basic properties were derived. Furthermore, by considering the Fibonacci and Lucas number sequences, subjects widely explored in number theory, the study defined hybrid Fibonacci and Lucas spinor sequences, examining some of their properties. Lastly, hybrid Fibonacci and Lucas polynomial spinor sequences have been introduced through the utilization of the polynomials associated with these number sequences.

math.GM↗

arXiv2024

Hyperbolic Jacobsthal Spinor Sequences and Their Mathematical Properties

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.

math.NT↗