Geodesic
On the Horizontal Monotonicity of |Γ(s)|
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 538-543

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DOI

Writing $s\,=\,\sigma \,+\,it$ for a complex variable, it is proved that the modulus of the gamma function, $\left| \Gamma (s) \right|$ , is strictly monotone increasing with respect to $\sigma $ whenever $\left| t \right|\,>\,5/4$ . It is also shown that this result is false for $\left| t \right|\,\le \,1$ .
DOI : 10.4153/CMB-2010-107-8
Mots-clés : 33B15, Gamma function, modulus, monotonicity 
Srinivasan, Gopala Krishna; Zvengrowski, P. On the Horizontal Monotonicity of |Γ(s)|. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 538-543. doi: 10.4153/CMB-2010-107-8
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     title = {On the {Horizontal} {Monotonicity} of {|\ensuremath{\Gamma}(s)|}},
     journal = {Canadian mathematical bulletin},
     pages = {538--543},
     year = {2011},
     volume = {54},
     number = {3},
     doi = {10.4153/CMB-2010-107-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-107-8/}
}
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