1. CMB 2010 (vol 54 pp. 538)
|On the Horizontal Monotonicity of $|\Gamma(s)|$|
Writing $s = \sigma + it$ for a complex variable, it is proved that the modulus of the gamma function, $|\Gamma(s)|$, is strictly monotone increasing with respect to $\sigma$ whenever $|t| > 5/4$. It is also shown that this result is false for $|t| \leq 1$.
Keywords:Gamma function, modulus, monotonicity