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.
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 16 Mart 2024 |
Gönderilme Tarihi | 9 Şubat 2023 |
Kabul Tarihi | 19 Eylül 2023 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 73 Sayı: 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.