Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643171 | Journal of Computational and Applied Mathematics | 2006 | 21 Pages |
Abstract
The famous Stirling's formula says that Γ(s+1)=2πs(s/e)seγ(s)=2π(s/e)seθ(s)/12s. In this paper, we obtain a novel convergent asymptotic series of γ(s)γ(s) and proved that θ(s)θ(s) is increasing for s>0s>0.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiquan Shi, Fengshan Liu, Minghan Hu,