TY  - JOUR
TI  - The generalized Lucas hybrinomials with two variables
AB  - Özdemir defined the hybrid numbers as a generalization of complex, hyperbolic and dual numbers. In this research, we define the generalized Lucas hybrinomials with two variables. Also, we get the Binet formula, generating function and some properties for the generalized Lucas hybrinomials. Moreover, Catalan's, Cassini's and d'Ocagne's identities for these hybrinomials are obtained. Lastly, by the help of the matrix theory we derive the matrix representation of the generalized Lucas hybrinomials.
AU  - SEVGI, EMRE
DO  - 10.31801/cfsuasmas.854761
PY  - 2021
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 70
IS  - 2
SN  - 1303-5991
SP  - 622
EP  - 630
DB  - TRDizin
UR  - http://search/yayin/detay/499009
ER  -