On applications of Pell and Pell-Lucas numbers with matrix method

Article type: Research Article

Authors: Akbaba, Ümmügülsün^{; *} | Hikmet Değer, Ali

Affiliations: Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey

Correspondence: [*] Corresponding author. Ümmügülsün Akbaba, Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey. E-mail: ummugulsun.akbaba@gmail.com.

Abstract: In this study, new matrices which produce the Pell and Pell-Lucas numbers are given. By using these matrices, new identities and relations related to the Pell and Pell-Lucas numbers are obtained.

Keywords: Pell numbers, Pell-Lucas numbers, matrices

DOI: 10.3233/JIFS-222957

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 6, pp. 10703-10707, 2023