Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

Chao-Ping Chen and Richard B. Paris

Applied Mathematics and Computation, 2015, vol. 250, issue C, 514-529

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)/Γx+12 and Γx+12.

Keywords: Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions; Inequality (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:514-529

DOI: 10.1016/j.amc.2014.11.010

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