A new asymptotic series for the Gamma function

[摘要] The famous Stirling's formula says that Gamma(s+1) = root 2 pi s(s/e)(s)e(gamma(s)) = root 2 pi(s/e)(s)e(0(s)/12s). In this paper, we obtain a novel convergent asymptotic series of gamma(s) and proved that theta(s) is increasing for s > 0. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-10-15

[效力级别]  Proceedings Paper

[关键词] Gamma function;asymptotic series;Stirling formula