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arXiv · 1505.04284

On the Harmonic and Hyperharmonic Fibonacci Numbers

Naim Tuglu·Can Kızılateş·Seyhun Kesim
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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 $\mathbb{F}_{n}$, which is finite sums of reciprocals of Fibonacci numbers. We obtain spectral and Euclidean norms of circulant matrices involving harmonic and hyperharmonic Fibonacci numbers.

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Naim Tuglu, Can Kızılateş, Seyhun Kesim. 2015-05-25. On the Harmonic and Hyperharmonic Fibonacci Numbers. https://doi.org/10.1186/s13662-015-0635-z

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