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.
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. 


According to GradshteynRyzhik: Tables of integrals... 8.328.1, for fixed real $x$ and for $y\to\infty$ one has $$ \Gamma(x+iy)\sim\sqrt{2\pi}e^{\frac\pi 2y}y^{x\frac12}. $$ 

