An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials
Baijuan Shi, Can Kizilates
article (Uluslararası, Hakemli) | Yazar(lar): Baijuan Shi, Can Kizilates | Yıl: 2025 | Dergi/Kurum: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | İndeks: WOS.ESCI | DOI: 10.7546/nntdm.2025.31.2.269-279 | Anahtar Kelimeler: Bi-periodic Fibonacci polynomials, Bi-periodic Lucas polynomials, Tridiagonal matrices, Trigo
In this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results. We establish a connection between the bi-periodic Fibonacci and Lucas polynomials and tridiagonal matrices, which exploits the calculation of eigenvalues of associated tridiagonal matrices.