Generalized bivariate conditional Fibonacci and Lucas hybrinomials

Year 2024, Volume: 73 Issue: 1, 37 - 63, 16.03.2024

Sure Köme , Zeynep Kumtas

https://doi.org/10.31801/cfsuasmas.1249576

Abstract

The Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. In recent years, studies related with hybrid numbers have been increased significantly. In this paper, we introduce the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Also, we present the Binet formula, generating functions, some significant identities, Catalan’s identities and Cassini’s identities of the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Finally, we give more general results compared to the previous works.

Keywords

Bivariate conditional polynomials, hybrid numbers, Binet formula's, generating function, Catalan's identities, Cassini's identities

Thanks

This study is a part of the second author’s Master Thesis.

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