Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers

Cetin M., KIZILATEŞ C., Yesil Baran F., TUĞLU N.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.34, sa.2, ss.493-504, 2021 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.35378/gujs.705885
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.493-504
  • Anahtar Kelimeler: Hyperharmonic, Fibonacci numbers, Riordan array, Symmetric, Infinite matrix method, SYMMETRIC ALGORITHM, MATRICES
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper is concerned with the combinatorial identities of the harmonic and the hyperharmonic Fibonacci numbers. By using the symmetric algorithm, we get some identities which improve the usual results and generalize known equations. Moreover, with the help of concept of Riordan array, we obtain the generating functions for these numbers and a variety of identities are derived.