Sahin, MuratTan, ElifYilmaz, Semih2020-06-252020-06-252018Sahin, M., & Yilmaz, S. (2018). Complex Factorization by Chebysev Polynomials.Le Matematiche 73(1).179-189.0373-35052037-5298https://doi.org/10.4418/2018.73.1.13https://hdl.handle.net/20.500.12587/7547Let {a(i)}, {b(i)} be real numbers for 0 <= i <= r - 1, and define a r-periodic sequence {v(n)} with initial conditions v(0) , v(1) and recurrences v(n) = a(t)v(n-1) vertical bar b(t)v(n-)(2) where n t (mod r) (n >= 2). In this paper, by aid of Chebyshev polynomials, we introduce a new method to obtain the complex factorization of the sequence {v(n)} so that we extend some recent results and solve some open problems. Also, we provide new results by obtaining the binomial sum for the sequence {v(n)} by using Chebyshev polynomials.eninfo:eu-repo/semantics/openAccessChebyshev polynomialscomplex factorizationbinomial sumsArticle73117918910.4418/2018.73.1.132-s2.0-85048165623Q3WOS:000434633200013N/A