Factorizations and representations of the backward second-order linear recurrences

Authors:
Emrah Kilic;Dursun Tasci
Affiliations:
Mathematics Department, Gazi University, 06500 Teknikokullar, Ankara, Turkey;Mathematics Department, Gazi University, 06500 Teknikokullar, Ankara, Turkey
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

We show the relationships between the determinants and permanents of certain tridiagonal matrices and the negatively subscripted terms of second-order linear recurrences. Also considering how to the negatively subscripted terms of second-order linear recurrences can be connected to Chebyshev polynomials by determinants of these matrices, we give factorizations and representations of these numbers.