A new asymptotic expansion and some inequalities for the gamma function
A new asymptotic expansion and some inequalities for the gamma function
复制标题
DOI：
10.1016/j.jnt.2014.01.025
复制
发表时间：
2014-07
影响因子：
0.7
通讯作者：
Dawei Lu;Xiaoguang Wang
中科院分区：
文献类型：
--
作者：
Dawei Lu;Xiaoguang Wang
本文利用伯恩赛德公式，建立了阶乘函数的一个渐近展开式和伽玛函数的一些不等式。最后，为了证明我们的新级数比伯恩赛德公式、经典斯特林级数和Mortain级数的优越性，给出了一些数值计算.
In this paper, based on the Burnside formula, an asymptotic expansion of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside formula, the classical Stirling series and the Mortici sequences, some numerical computations are given.