Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers

Year 2021, Volume: 34 Issue: 2, 493 - 504, 01.06.2021

Miraç Çetin , Can Kızılateş , Fatma Yeşil Baran , Naim Tuglu

https://doi.org/10.35378/gujs.705885

Cited By: 4

Abstract

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.

Keywords

Hyperharmonic, Fibonacci numbers, Symmetric, Infinite matrix method

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