On the harmonic and hyperharmonic Fibonacci numbers

被引：12
|
作者：
Tuglu, Naim [1 ]
Kizilates, Can [2 ]
Kesim, Seyhun [2 ]
机构：
[1] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey
[2] Bulent Ecevit Univ, Dept Math, TR-67100 Incivez, Zonguldak, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
harmonic number; hyperharmonic number; harmonic Fibonacci number; hyperharmonic Fibonacci number; matrix norm; CIRCULANT MATRICES; SPECTRAL NORMS; LUCAS-NUMBERS;
D O I：
10.1186/s13662-015-0635-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the theory of the harmonic and the hyperharmonic Fibonacci numbers. Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for F-n, which is concerned with finite sums of reciprocals of Fibonacci numbers. We obtain the spectral and Euclidean norms of circulant matrices involving harmonic and hyperharmonic Fibonacci numbers.
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页数：12
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