d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Authors : Engin ÖZKAN, Mine UYSAL

Pages : 262-270

Doi:10.47000/tjmcs.1007382

View : 20 | Download : 7

Publication Date : 2022-12-30

Article Type : Research Paper

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