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Results tagged with gamma-function
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not deleted
user 43017
used only for functions based on gamma, not functions with some obscure relation to gamma
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Inequality for a gamma function
Let $s=\sigma+it$ and $\Gamma(s)$ be the Euler gamma function.
Does the inequality hold?
$$
\left|\frac{\Gamma(s)}{\Gamma(2-s)}\right|\leq |s|^{2(\sigma-1)},\, 1<\sigma<2,\, t\in \mathbb{R}.
$$
Diff …
