Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants
نویسندگان
چکیده
In the paper, the authors find a new closed expression for the Fibonacci polynomials and, consequently, for the Fibonacci numbers, in terms of a tridiagonal determinant.
منابع مشابه
On Factorization of the Fibonacci and Lucas Numbers Using Tridiagonal Determinants
The aim of this paper is to give new results about factorizations of the Fibonacci numbers Fn and the Lucas numbers Ln. These numbers are defined by the second order recurrence relation an+2 = an+1+an with the initial terms F0 = 0, F1 = 1 and L0 = 2, L1 = 1, respectively. Proofs of theorems are done with the help of connections between determinants of tridiagonal matrices and the Fibonacci and ...
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