Journals / Journal of Engineering Technology and Applied Sciences / 2023 / Cilt: 8 Sayı: 1
Hybrinomials Related to Hyper-Fibonacci and Hyper-Lucas Numbers
- Pages
- 1–13
- DOI
- —
Abstract
Hybrid number system is a generalization of complex, hyperbolic and dual numbers. Hybrid numbers and hybrid polynomials have been the subject of much research in recent years. In this paper, hybrinomials related to hyper-Fibonacci and hyper-Lucas numbers are defined. Then some algebraic properties of newly defined hybrinomials are examined such as the recurrence relations and summation formulas. Also, the relation between hybrinomials related to hyper-Fibonacci and hyper-Lucas numbers is given. Additionally, hybrid hyper-Fibonacci and hybrid hyper-Lucas numbers are defined by using the hybrinomials related to hyper-Fibonacci and hyper-Lucas numbers.