Generalized bivariate conditional Fibonacci and Lucas hybrinomials

Authors : Sure Köme, Zeynep Kumtas

Pages : 37-63

Doi:10.31801/cfsuasmas.1249576

View : 57 | Download : 184

Publication Date : 2024-03-16

Article Type : Research Paper

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