Question Number 145274 by ArielVyny last updated on 03/Jul/21
$$\int_{\mid{z}\mid=\mathrm{1}} \frac{\overset{−} {{f}}\left({z}\right)}{{z}−{a}}{dz} \\ $$
Answered by Olaf_Thorendsen last updated on 03/Jul/21
$${f}\left({a}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}\pi{i}}\oint_{\gamma} \frac{{f}\left({z}\right)}{{z}−{a}}\:{dz} \\ $$$$\Omega\:=\:\int_{\mid{z}\mid=\mathrm{1}} \frac{\overset{\_} {{f}}\left({z}\right)}{{z}−{a}}\:{dz} \\ $$$$\Omega\:=\:\mathrm{2}\pi{i}\overset{\_} {{f}}\left({a}\right) \\ $$