I was wondering if there are any results that studied the growth of $\left|\frac{1}{\Gamma(s)}\right|$ where $0 < \Re(s) < 1$ and as $\Im(s) \to \infty$? Any pointers to any results, papers, references will be highly appreciated.


Thanks.



Growth of the reciprocal gamma function in the critical strip
According to Gradshteyn-Ryzhik: Tables of integrals... 8.328.1, for fixed real $x$ and for $|y|\to\infty$ one has
$$
|\Gamma(x+iy)|\sim\sqrt{2\pi}e^{-\frac\pi 2|y|}|y|^{x-\frac12}.
$$


