A new asymptotic expansion and some inequalities for the gamma function

作者：Lu Dawei^*; Wang Xiaoguang

来源：Journal of Number Theory, 2014, 140: 314-323.

DOI：10.1016/j.jnt.2014.01.025

• Gamma function
• Continued fraction
• Inequalities
• Burnside formula

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.

• 出版日期2014-7
• 单位大连理工大学