与伯恩塞德公式有关的阶乘函数的近似值和不等式

Cubo (Temuco) Pub Date : 2024-08-08 DOI:10.56754/0719-0646.2602.317

Xu You

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引用次数: 0

摘要

在本文中，我们根据 Burnside 公式提出了阶乘函数的续分近似值和一些不等式。与最近发现的渐近级数相比，这种近似方法速度更快。最后，我们提供了一些数值计算，以证明我们的近似值优于伯恩赛德公式和经典的斯特林数列。

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

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.

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Cubo (Temuco)

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