On the harmonic and hyperharmonic Fibonacci numbers


TUĞLU N. , KIZILATEŞ C., KESİM S.

ADVANCES IN DIFFERENCE EQUATIONS, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13662-015-0635-z
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS

Özet

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.