On the Harmonic and Hyperharmonic Fibonacci Numbers
Number Theory
2016-03-28 v2
Abstract
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 , which is finite sums of reciprocals of Fibonacci numbers. We obtain spectral and Euclidean norms of circulant matrices involving harmonic and hyperharmonic Fibonacci numbers.
Cite
@article{arxiv.1505.04284,
title = {On the Harmonic and Hyperharmonic Fibonacci Numbers},
author = {Naim Tuglu and Can Kızılateş and Seyhun Kesim},
journal= {arXiv preprint arXiv:1505.04284},
year = {2016}
}