Integer Powers of Certain Complex Tridiagonal Matrices and Some Complex Factorizations

Durmuş Bozkurt


In this paper, we obtain a general expression for the entries of the rth power of a certain n×n complex tridiagonal matrix where if n is even, r∈Z or if n is odd, r∈N. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.

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