A Note on the Asymptotic Behavior of the Distribution Function of a General Sequence
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Abstract
The aim of this note is to study the distribution function of certain sequences of positive integers, including, for example, Bell numbers, factorials and primorials. In fact, we establish some general asymptotic formulas in this regard. We also prove some limits that connect these sequences with the number e. Furthermore, we present a generalization of the primorial.
Language: English
Page range: 44 - 54
Submitted on: Jun 14, 2020
Accepted on: Dec 29, 2020
Published on: Jan 26, 2021
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 2021 Reza Farhadian, Rafael Jakimczuk, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.