The relations among k-Fibonacci, k-Lucasand generalized k-Fibonacci numbers and thespectral norms of the matrices of involvingthese numbers

K. Uslu; N. Taskara; S. Uygun

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The relations among k-Fibonacci, k-Lucasand generalized k-Fibonacci numbers and thespectral norms of the matrices of involvingthese numbers

机译：k-Fibonacci，k-Lucas和广义k-Fibonacci数之间的关系以及涉及这些数的矩阵的谱范数

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摘要

In this study, we obtain the relations among k-Fibonacci, k-Lucas and generalized k-Fibonacci numbers. Then we define cir-culant matrices involving k-Lucas and generelized k-Fibonacci num-bers. In the last of this study, we investigate the upper and lower bounds for the norms these matrices.

机译：在这项研究中，我们获得了k-Fibonacci，k-Lucas和广义k-Fibonacci数之间的关系。然后，我们定义包含k-Lucas和广义k-Fibonacci数的cir-culant矩阵。在本研究的最后，我们研究了这些矩阵范数的上下限。

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《Ars Combinatoria: An Australian-Canadian Journal of Combinatorics》 |2011年第null期|共10页
作者
K. Uslu; N. Taskara; S. Uygun;
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正文语种 eng
中图分类组合数学（组合学）;
关键词
k-Lucas number; k-Fibonacci number; generalized k-Fibonacci number; circulant matrix;

机译：k-卢卡斯数;k-斐波那契数;广义k-斐波那契数;循环矩阵;

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1. The relations among k-Fibonacci, k-Lucasand generalized k-Fibonacci numbers and thespectral norms of the matrices of involvingthese numbers [J] . K. Uslu, N. Taskara, S. Uygun Ars Combinatoria: An Australian-Canadian Journal of Combinatorics . 2011,第Null期

机译：k-Fibonacci，k-Lucas和广义k-Fibonacci数之间的关系以及涉及这些数的矩阵的谱范数
2. On the norms of Toeplitz matrices involving k-Fibonacci and k-Lucas numbers [J] . B. Yousefi, F. Ershad International journal of contemporary mathematical sciences . 2012,第5a8期

机译：关于涉及k-Fibonacci和k-Lucas数的Toeplitz矩阵的范数
3. On the spectral norms of r-circulant matrices with the k-Fibonacci and k-Lucas numbers [J] . S. Sharma, B. S. Komal, S. K. Sharma International journal of contemporary mathematical sciences . 2010,第9a12期

机译：关于带有k-Fibonacci和k-Lucas数的r-循环矩阵的谱范数
4. The Third Hankel Determinant For Starlike Functions With Respect To Symmetric Points Subordinate To k-Fibonacci Sequence [C] . P. Sumalatha, R.B. Sharma, M.Hari Priya National Conference on Mathematical Techniques and Applications . 2019

机译：第三Hankel决定簇的恒星函数相对于对称点从属于K-Fibonacci序列
5. Combinatorial Applications of the k-Fibonacci Numbers: a Cryptographically Motivated Analysis [D] . Ahrens, Katharine A. 2020

机译：K-FIBONACCI号的组合应用：加密动机分析
6. The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers [O] . Baijuan Shi -1

机译：具有广义k-霍拉丹数的几何循环矩阵的谱范数
7. On the K-Fibonacci Hankel and the 4 X 4 Skew Symmetric KFibonacci Matrices. [O] . Sergio Falcon 2017

机译：在K-Fibonacci Hankel和4 x 4偏斜对称KFibonacci矩阵。

The relations among k-Fibonacci, k-Lucasand generalized k-Fibonacci numbers and thespectral norms of the matrices of involvingthese numbers

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