Abstract
In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2).
| Original language | English |
|---|---|
| Pages (from-to) | 514-529 |
| Number of pages | 16 |
| Journal | Applied Mathematics and Computation |
| Volume | 250 |
| Early online date | 22 Nov 2014 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
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Chen, C-P., & Paris, R. B. (2015). Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Applied Mathematics and Computation, 250, 514-529. https://doi.org/10.1016/j.amc.2014.11.010