A monotoneity property of the gamma function

Anderson, G.; Qiu, S.-L.

doi:10.1090/S0002-9939-97-04152-X

A monotoneity property of the gamma function

Authors: G. D. Anderson and S.-L. Qiu
Journal: Proc. Amer. Math. Soc. 125 (1997), 3355-3362
MSC (1991): Primary 33B15; Secondary 26A48, 26D07
DOI: https://doi.org/10.1090/S0002-9939-97-04152-X
MathSciNet review: 1425110
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Abstract: In this paper we obtain a monotoneity property for the gamma function that yields sharp asymptotic estimates for $\Gamma (x)$ as $x$ tends to $\infty$ , thus proving a conjecture about $\Gamma (x)$ .

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