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1. CMB 2010 (vol 54 pp. 538)

Srinivasan, Gopala Krishna; Zvengrowski, P.
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

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