Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Yazarlar: ["Engin ÖZKAN", "Mine UYSAL"]

Cilt - , Sayı Cilt: 14 Sayı: 2 , 2022 , Sayfalar -

Konular:-

DOI:10.47000/tjmcs.1007382

Anahtar Kelimeler:D-Gaussian Pell-Lucas polynomial,Generating function,Binet formula,Riordan matrix,D-Gaussian Pell-Lucas polynomial matrix

Özet: 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.


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