Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers

Authors : Miraç Çetin, Can Kizilateş, Fatma Yeşil Baran, Naim Tuglu

Pages : 493-504

Doi:10.35378/gujs.705885

View : 12 | Download : 8

Publication Date : 2021-06-01

Article Type : Research

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