- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 2
- d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations
d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations
Authors : Engin ÖZKAN, Mine UYSAL
Pages : 262-270
Doi:10.47000/tjmcs.1007382
View : 8 | Download : 2
Publication Date : 2022-12-30
Article Type : Research
Abstract :We define a new generalization of Gaussian Pell-Lucas polynomials. We call it $d-$Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of $d-$Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.Keywords : d-Gaussian Pell-Lucas polynomial, generating function, Binet formula, Riordan matrix, d-Gaussian Pell-Lucas polynomial matrix