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5. On the Monotonicity and Boundedness of the remainder of Stirling's formula

On the Monotonicity and Boundedness of the remainder of Stirling's formula

来源 :The 24th International Workshop on Matrices and Statistics(第 | 被引量 : 0次 | 上传用户：q569293407

【摘 要】

：

　　In this paper, we are concerned with the monotonicity and the estimates of xσ and xλdefined by the famous Stirling's formula:Γ(x+1) =(√)(x/e)xexp(σx/12

【作 者】

：

Songbai Guo Youjian Shen Binbin Shi 

【机 构】

：

Hainan Normal University,Haikou,China

【出 处】

：

The 24th International Workshop on Matrices and Statistics(第

【发表日期】

：

2015年期

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论文部分内容阅读

　　In this paper, we are concerned with the monotonicity and the estimates of xσ and xλdefined by the famous Stirling's formula:Γ(x+1) =(√)(x/e)xexp(σx/12x)=(√)2πx(x/e)x(1+λx)(x>0) and improve some old results.

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