A Note on Horadam Hybrinomials

Abstract

The hybrid numbers are a generalization of complex, hyperbolic and dual numbers. In this paper, we introduce the Horadam hybrid polynomials called Horadam hybrinomials. We also give some special cases and algebraic properties of the Horadam hybrinomials. Finally we obtain some applications related to the Horadam hybrinomials in matrices.

A Note on Horadam Hybrinomials

“…Remark 3.12. This paper is a slightly corrected and revised version of the electronic preprint [29].…”

On Leonardo Pisano Hybrinomials

“…For instance, the authors studied Fibonacci and Lucas hybrinomials [18], Petroudi and Pirouz studied Van der Laan hybrinomials [19] and Petroudi et al studied Narayana polynomials and Narayana hybrinomial sequences [20]. Moreover, Horadam hybrinomials were studied by Kızılateş in [21].…”

Generalized Hybrid Fibonacci and Lucas p-numbers

“…Moreover, the author gave some important algebraic properties of these numbers. In [6], the author introduced a new hybrinomials with Horadam polynomials and gave some properties of Horadam hybrinomials. For more information, please refer to [1,2,[4][5][6]10,11,17] and closely related references therein.…”