$d$-Gaussian Fibonacci, $d$-Gaussian Lucas polynomials and their matrix representations

• Date: 2023
• Main Authors: Özkan, E., Uysal, M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6988
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We define $d$-Gaussian Fibonacci polynomials and $d$-Gaussian Lucas polynomials. We present the matrix representations of these polynomials. By using the Riordan method, we obtain the factorizations of the Pascal matrix including the polynomials...