Integer Powers of Certain Complex (2k+1)-diagonal Toeplitz Matrices

2015/02/04 by Duru, H. Kübra, Bozkurt, Durmuş
#11B39 #15A16 #15A18 #15B05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1503.05400

Abstract

In this paper, we obtain a general expression for the entries of the lth (l is integer) powers of even order (2k+1)-diagonal Toeplitz matrices. Additionally, we have the complex factorizations of Fibonacci polynomials.

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