Hyper-Fibonacci and Hyper-Lucas Hybrinomials

Year 2022, Volume: 10 Issue: 2, 293 - 300, 31.10.2022

Efruz Özlem Mersin , Mustafa Bahşi

Abstract

The hybrid numbers which are accepted as a generalization of complex, hyperbolic and dual numbers, have attracted the attention of many researchers recently. In this paper hyper-Fibonacci and hyper-Lucas hybrinomials are defined. The recurrence relations, generation functions, as well as some algebraic and combinatoric properties are examined for newly defined hybrinomials.

Keywords

Hybrinomials, Hyper-Fibonacci numbers, Hyper-Lucas numbers, Polynomials

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