COMMUNICATIONS IN ALGEBRA, cilt.47, sa.10, ss.4020-4030, 2019 (SCI-Expanded)
In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials.