Hybrinomials Related to Hyper-Fibonacci and Hyper-Lucas Numbers

Authors : Efruz Özlem MERSİN

Pages : 1-13

Doi:10.30931/jetas.1196595

View : 8 | Download : 8

Publication Date : 2023-04-30

Article Type : Research Paper

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.
Keywords : Hyper Fibonacci numbers, hyper Lucas numbers, polynomials, hybrinomials