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
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by G. D. Anderson and S.-L. Qiu PDF

Proc. Amer. Math. Soc. 125 (1997), 3355-3362 Request permission

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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