Abstract: In this study, we define d-Tribonacci polynomials. Some combinatorial properties of the d- Tribonacci polynomials with matrix representations are obtained with the help of Riordan arrays. In addition, d- Tribonacci number sequence, which is a new generalization of this number sequence, has been obtained by considering Pascal matrix. With the help of Pascal matrix, two kinds of factors of d-Tribonacci polynomials were found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials were found.
Bahar Kuloğlu, Engin Özkan, "d-Tribonacci Polynomials and Their Matrix Representations," WSEAS Transactions on Mathematics, vol. 22, pp. 204-212, 2023, DOI:10.37394/23206.2023.22.25
Bahar Kuloğlu, Engin Özkan. d-Tribonacci Polynomials and Their Matrix Representations.
WSEAS Transactions on Mathematics. 2023;22:204-212. 10.37394/23206.2023.22.25