On the characteristic polynomial of \((k,p)\) -Fibonacci sequence

Advances in Difference Equations

article

Trojovský, Pavel¹ 

[1] Department of Mathematics, Faculty of Science, University of Hradec Kralove

关键词: Generalized Fibonacci sequence;    Characteristic polynomial;    Eneström–Kakeya theorem;    Descartes’ sign rule;   

DOI  :  10.1186/s13662-020-03186-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the$(k,p)$ -Fibonacci sequence and denoted by$(F_{k,p}(n))_{n\geq0}$ . In this paper, we study the geometry of roots of the characteristic polynomial of this sequence.

【 授权许可】

CC BY