http://dx.doi.org/10.4153/CMB-2010-107-8
Canad. Math. Bull. 54(2011), 538-543
Published:2010-12-31
Printed: Sep 2011
Gopala Krishna Srinivasan, Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India P. Zvengrowski, Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4
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Abstract
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 $|t|
\leq 1$.
© Canadian Mathematical Society, 2013
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