A Note on Statistical Limit and Cluster Points of The Arithmetical Functions ap(n), γ(n), and τ(n) in The Sense of Density

Abdu Awel Adem (1) , Mehmet Kucukaslan (2)
(1) Mekelle Universıty, Ethiopia,
(2) Mersin University, Turkey

Abstract

In this paper, by using natural density of subsets of N, the statistical limit and cluster points of the arithmetical functions (ap (n)), γ (n),τ(n), Δ γ (n) and Δ τ (n) are studied. In addition to this, we also investigate statistical limit and cluster points of (Δ r γ (n) and (Δ r τ (n)) for each r ın N.

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Authors

Abdu Awel Adem
abdua90@gmail.com (Primary Contact)
Mehmet Kucukaslan
Author Biographies

Abdu Awel Adem, Mekelle Universıty

 

Department of Mathematıcs

mekelle Unıversıty, Ethiopia

Mehmet Kucukaslan, Mersin University

Prof.Dr.Mehmet kucukaslan

Department of Mathematıcs

Mersin University

Adem, A. A., & Kucukaslan, M. (2020). A Note on Statistical Limit and Cluster Points of The Arithmetical Functions ap(n), γ(n), and τ(n) in The Sense of Density. Journal of the Indonesian Mathematical Society, 26(2), 224–233. https://doi.org/10.22342/jims.26.2.808.224-233
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