Factorizations and Representations of Binary Polynomial Recurrences by Matrix Methods

Kılıç, EmrahStanica, Pantelimon2021-09-112021-09-1120110035-7596https://doi.org/10.1216/RMJ-2011-41-4-1247https://hdl.handle.net/20.500.11851/5732In this paper we derive factorizations and representations of a polynomial analogue of an arbitrary binary sequence by matrix methods. It generalizes various results on Fibonacci, Lucas, Chebyshev and Morgan-Voyce polynomials. Copyright © 2011 Rocky Mountain Mathematics Consortium.eninfo:eu-repo/semantics/openAccessChebyshev polynomialsFactorizationMatrix methodsSecond order recurrencesTridiagonal matrixFactorizations and Representations of Binary Polynomial Recurrences by Matrix MethodsArticle2-s2.0-8005395276510.1216/RMJ-2011-41-4-1247