d-Gaussian Fibonacci, d-Gaussian Lucas Polynomials, and their Matrix Representations

We define d-Gaussian Fibonacci polynomials and d-Gaussian Lucas polynomials and present matrix representations of these polynomials. By using the Riordan method, we obtain the factorizations of the Pascal matrix, including polynomials. In addition, we define the infinite d-Gaussian Fibonacci polynomial matrix and the d-Gaussian Lucas polynomial matrix and present their inverses. © 2023, Springer Science+Business Media, LLC, part of Springer Nature.