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.
Bivariate conditional polynomials hybrid numbers Binet formula's generating function Catalan's identities Cassini's identities
This study is a part of the second author’s Master Thesis.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | March 16, 2024 |
Submission Date | February 9, 2023 |
Acceptance Date | September 19, 2023 |
Published in Issue | Year 2024 Volume: 73 Issue: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.