d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations
Turkish Journal of Mathematics and Computer Science, cilt.14, sa.2, ss.262-270, 2022 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.47000/tjmcs.1007382
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.262-270
- Anahtar Kelimeler: Binet formula, d-Gaussian Pell-Lucas polynomial, d-Gaussian PellLucas polynomial matrix, generating function, Riordan matrix
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Hayır
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.