The relations among k-Fibonacci, k-Lucas and generalized k-Fibonacci numbers and the spectral norms of the matrices of involving these numbers

被引：0
|
作者：
Uslu, K. [1 ]
Taskara, N. [1 ]
Uygun, S. [1 ]
机构：
[1] Selcuk Univ, Fac Sci, Dept Math, TR-42075 Campus, Konya, Turkey
来源：
ARS COMBINATORIA | 2011年 / 102卷
关键词：
k-Lucas number; k-Fibonacci number; generalized k-Fibonacci number; circulant matrix; CIRCULANT MATRICES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we obtain the relations among k-Fibonacci, k-Lucas and generalized k-Fibonacci numbers. Then we define circulant matrices involving k-Lucas and generelized k-Fibonacci numbers. In the last of this study, we investigate the upper and lower bounds for the norms these matrices.
引用
收藏
页码：183 / 192
页数：10
相关论文
共 50 条
  • [1] The Generalized k-Fibonacci and k-Lucas Numbers
    Uslu, K.
    Taskara, N.
    Kose, H.
    ARS COMBINATORIA, 2011, 99 : 25 - 32
  • [2] FERMAT k-FIBONACCI AND k-LUCAS NUMBERS
    Bravo, Jhon J.
    Herrera, Jose L.
    MATHEMATICA BOHEMICA, 2020, 145 (01): : 19 - 32
  • [3] On Relationship Among a New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers
    Ozkan, Engin
    Altun, Ipek
    Gocer, Ali Aykut
    CHIANG MAI JOURNAL OF SCIENCE, 2017, 44 (04): : 1744 - 1750
  • [4] Symmetric functions of the k-Fibonacci and k-Lucas numbers
    Boussayoud, Ali
    Kerada, Mohamed
    Araci, Serkan
    Acikgoz, Mehmet
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (03)
  • [5] k-Fibonacci and k-Lucas numbers as (l, m)-antipalindromic numbers
    Brahmi, Adel
    Mokhtar, Ahmed Ait
    Rihane, Salah Eddine
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2025, 31 (02):
  • [6] k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits
    Rihane, Salah Eddine
    RESULTS IN MATHEMATICS, 2021, 76 (04)
  • [7] k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits
    Salah Eddine Rihane
    Results in Mathematics, 2021, 76
  • [8] k-Fibonacci numbers and k-Lucas numbers and associated bipartite graphs
    Lee, Gwangyeon
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (03) : 884 - 893
  • [9] Multiplicative dependence between k-Fibonacci and k-Lucas numbers
    Carlos A. Gómez
    Jhonny C. Gómez
    Florian Luca
    Periodica Mathematica Hungarica, 2020, 81 : 217 - 233
  • [10] Multiplicative dependence between k-Fibonacci and k-Lucas numbers
    Gomez, Carlos A.
    Gomez, Jhonny C.
    Luca, Florian
    PERIODICA MATHEMATICA HUNGARICA, 2020, 81 (02) : 217 - 233
12345