关于一般序列分布函数渐近性的一个注记

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2021-01-26 DOI:10.2478/amsil-2020-0027

Reza Farhadian, R. Jakimczuk

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引用次数: 0

摘要

摘要本文的目的是研究某些正整数序列的分布函数，包括Bell数、阶乘和Primorial。事实上，我们在这方面建立了一些一般的渐近公式。我们还证明了将这些序列与数e联系起来的一些极限。此外，我们给出了primoral的一个推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Note on the Asymptotic Behavior of the Distribution Function of a General Sequence

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.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks