On the Harmonic and Hyperharmonic Fibonacci Numbers

Autor: Tuglu, Naim, Kızılateş, Can, Kesim, Seyhun
Rok vydání: 2015
Předmět:
Zdroj: Advances in Difference Equations (2015) 2015:297
Druh dokumentu: Working Paper
DOI: 10.1186/s13662-015-0635-z
Popis: 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.
Databáze: arXiv