A Note on Horadam Hybrinomials

Authors : Can Kizilateş

Pages : 1-9

Doi:10.33401/fujma.993546

View : 15 | Download : 8

Publication Date : 2022-03-01

Article Type : Research

Abstract :This paper ensures an extensive survey of the generalization of the various hybrid numbers and hybrid polynomials especially as part of its enhancing importance in the disciplines of mathematics and physics. In this paper, by using the Horadam polynomials, we define the Horadam hybrid polynomials called Horadam hybrinomials. We obtain some special cases and algebraic properties of the Horadam hybrinomials such as recurrence relation, generating function, exponential generating function, Binet formula, summation formulas, Catalan's identity, Cassini's identity and d'Ocagne's identity, respectively. Moreover, we give some applications related to the Horadam hybrinomials in matrices.
Keywords : Horadam number, Horadam polynomial, Hybrid number