Name
Title | ||
|---|---|---|
Some inequalities and monotonicity properties associated with the gamma and psi functions. |
Abstract | ||
|---|---|---|
In this paper, we present new completely monotonic functions and Bernstein functions relating to the gamma and psi functions. As consequences we establish new upper and lower bounds for the gamma function in terms of ψ-function. Also, we present some estimates for Stirling’s formula remainder. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.02.007 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Gamma function,Psi function,Completely monotonic functions,Stirling’s formula,Remainder in the Stirling formula,Estimates | Monotonic function,Upper and lower bounds,Mathematical analysis,Remainder,Stirling's approximation,Gamma function,Mathematics,Stirling engine | Journal |
Volume | Issue | ISSN |
218 | 17 | 0096-3003 |
Citations | PageRank | References |
5 | 0.59 | 21 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao-Ping Chen | 1 | 58 | 12.24 |
| Necdet Batir | 2 | 18 | 5.10 |