Approximation and inequalities for the factorial function related to the Burnside's formula

被引：0

作者：

You, Xu ^{[1
]}

机构：

[1] Beijing Inst Petrochem Technol, Dept Math & Phys, Beijing 102617, Peoples R China

来源：

CUBO-A MATHEMATICAL JOURNAL | 2024年 / 26卷 / 02期

关键词：

Factorial function; Stirling's formula; Burnside's formula; approximation; continued fraction; MULTIPLE-CORRECTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a continued fraction approximation and some inequalities of the factorial function based on the Burnside's formula. This approximation is fast in comparison with the recently discovered asymptotic series. Finally, some numerical computations are provided for demonstrating the superiority of our approximation over the Burnside's formula and the classical Stirling's series.

引用

页码：317 / 326

页数：10

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