Some properties of k-generalized Fibonacci numbers-Reference-Cited by-同舟云学术

Some properties of k-generalized Fibonacci numbers

Published:2021 Issue: Volume:50 Page:73-79
ISSN:0354-2238
Container-title:Mathematica Montisnigri
language:
Short-container-title:MathMon

Author:

Yılmaz Nazmiye¹^ORCID,Aydoğdu Ali²^ORCID,Özkan Engin³^ORCID

Affiliation:

1. Department of Mathematics, Kamil Özdağ Faculty of Science, Karamanoğlu Mehmetbey University, Karaman, Turkey

2. Department of Basic Sciences, Air NCO Vocational School, Turkish National Defense University, İzmir, Turkey

3. Department of Mathematics, Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, Erzincan, Turkey

Abstract

In the present paper, we propose some properties of the new family 𝑘-generalized Fibonacci numbers which related to generalized Fibonacci numbers. Moreover, we give some identities involving binomial coefficients for 𝑘-generalized Fibonacci numbers.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference21 articles.

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3. M. El-Mikkawy and T. Sogabe, “A new family of k-Fibonacci numbers”, J. Appl. Math. Comput., 215(12), 4456-4461 (2010).

4. S. Falcon and A. Plaza, “On the Fibonacci k-numbers”, Chaos, Solitons & Fractals, 32 (5), 1615-1624 (2007).

5. H.H. Gulec, N. Taskara, K. Uslu, “A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients”, J. Appl. Math. Comput., 220, 482-486 (2013).

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