D- Gaussian Jacobsthal, D- Gaussian Jacobsthallucas Polynomials and Their Matrix Representations E. Ozkan, M. Uysal

Abstract

In this paper, we define d− Gaussian Jacobsthal polynomials and d−Gaussian Jacobsthal-Lucas polynomials. We present the sum, generating functions and Binet formulas of these polynomials. We give the matrix representations of them. We present these matrices as binary representation according to the Riordan group matrix representation. By using Riordan method, we give factorizations of Pascal matrix involving d−Gaussian Jacobsthal polynomials and d−Gaussian Jacobsthal-Lucas polynomials. We give the inverse of matrices of these polynomials.