Hybrinomials Related to Hyper-Fibonacci and Hyper-Lucas Numbers

Year 2023, , 1 - 13, 30.04.2023

Efruz Özlem Mersin

https://doi.org/10.30931/jetas.1196595

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

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