A new continued fraction approximation and inequalities for the Gamma function via the Tri-gamma function |
| |
| Authors: | Dawei Lu Xiaoguang Wang Lixin Song Huiyuan Xu |
| |
| Institution: | 1.School of Mathematical Sciences,Dalian University of Technology,Dalian,China;2.Department of Statistics,The Chinese University of Hong Kong,Shatin, N.T.,Hong Kong |
| |
| Abstract: | The main objective of this paper is to propose a product approximation for the Gamma function in the form of continued fraction, via the Tri-gamma function. The importance of this new formula is that the convergence of the corresponding asymptotic series is faster than other recently discovered asymptotic series, and some new inequalities related to the new formula are also established. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
