English

Determinants of Circulant Matrices with Some Certain Sequences

Classical Analysis and ODEs 2014-08-15 v1

Abstract

Let {ak}\{a_k\} be a sequence of real numbers defined by an mmth order linear homogenous recurrence relation. In this paper we obtain a determinant formula for the circulant matrix A=circ(a1,a2,,an)A=circ(a_1, a_2, \cdots, a_n), providing a generalization of determinantal results in papers of Bozkurt \cite{Bozkurt}, Bozkurt and Tam \cite{BozkurtTam}, and Shen, et al. \cite{ShenCenHao}.

Keywords

Cite

@article{arxiv.1408.3287,
  title  = {Determinants of Circulant Matrices with Some Certain Sequences},
  author = {Ercan Altınışık},
  journal= {arXiv preprint arXiv:1408.3287},
  year   = {2014}
}
R2 v1 2026-06-22T05:28:57.917Z