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Integer powers of complex anti-tridiagonal matrices and some complex\n factorizations

2014/06/12 by Durmuş Bozkurt, Bozkurt, Durmuş, Hatice Kübra Duru +2
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1406.3184

openalex publication_date 2014/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain a general expression for the entries of the rth\npower of a certain n-square complex anti-tridiagonal matrix where if n is odd,\nr is integer or if n is even, r is natural number. In addition, we get the\ncomplex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.\n

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