d-Gaussian Fibonacci, d-Gaussian Lucas Polynomials, and their Matrix Representations

ÖZKAN, ENGİN; UYSAL, MİNE

doi:10.1007/s11253-023-02217-3

d-Gaussian Fibonacci, d-Gaussian Lucas Polynomials, and their Matrix Representations

ÖZKAN E., UYSAL M.

Ukrainian Mathematical Journal, cilt.75, sa.4, ss.562-585, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 75 Sayı: 4
Basım Tarihi: 2023
Doi Numarası: 10.1007/s11253-023-02217-3
Dergi Adı: Ukrainian Mathematical Journal
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.562-585
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Marmara Üniversitesi Adresli: Hayır

Özet

We define d-Gaussian Fibonacci polynomials and d-Gaussian Lucas polynomials and present matrix representations of these polynomials. By using the Riordan method, we obtain the factorizations of the Pascal matrix, including polynomials. In addition, we define the infinite d-Gaussian Fibonacci polynomial matrix and the d-Gaussian Lucas polynomial matrix and present their inverses.