Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419830 | Applied Mathematics and Computation | 2016 | 12 Pages |
Abstract
We define Ï(x) by the equality Î(x+1)=Ï(xe)x(8x3+4x2+x+130)1/6eÏ(x).We call Ï(x) the remainder of Ramanujan's formula. In this paper, we present some properties for Ï(x), including monotonicity properties, inequalities and asymptotic expansions. Furthermore, we present some full asymptotic expansions for the gamma function related to the Nemes, Ramanujan and Burnside formulas.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chao-Ping Chen,