A Note on Horadam Hybrinomials

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Fundamental Journal of Mathematics and Applications
Volume:5 Issue:1
A Note on Horadam Hybrinomials

A Note on Horadam Hybrinomials

Pages : 1-9

View : 24 | Download : 9

Publication Date : 2022-03-01

Article Type : Research Paper

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

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