Name
Title | ||
|---|---|---|
Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function. |
Abstract | ||
|---|---|---|
We define ¿(x) by the equality ¿ ( x + 1 ) = π ( x e ) x ( 8 x 3 + 4 x 2 + x + 1 30 ) 1 / 6 e ¿ ( x ) . We call ¿(x) the remainder of Ramanujan's formula. In this paper, we present some properties for ¿(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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.amc.2016.02.040 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Gamma function,Asymptotic expansion,Inequality | Monotonic function,Ramanujan's sum,Mathematical analysis,Asymptotic analysis,Remainder,Asymptotic expansion,Gamma function,Mathematics | Journal |
Volume | Issue | ISSN |
283 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 16 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao-Ping Chen | 1 | 58 | 12.24 |