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1. CMB 2010 (vol 54 pp. 538)
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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 Category:33B15 |