Question Number 139483 by qaz last updated on 27/Apr/21
$$\Gamma\left(\overset{−} {{z}}\right)=\overline {\Gamma\left({z}\right)}\:\:\:\:{why}? \\ $$
Answered by mnjuly1970 last updated on 27/Apr/21
$$\:\:{hint} \\ $$$$\:\:\Gamma\left({z}\right)={e}^{−\gamma{z}} \frac{\mathrm{1}}{{z}}\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\prod}}\frac{{e}^{\frac{{z}}{{k}}} \:\:}{\mathrm{1}+\frac{{z}}{{k}}} \\ $$$$\:{z}\rightarrow\overset{−} {{z}}\:…… \\ $$