Cauchy-Goursat Theorem
● If is analytic in a simply connected domain
for every simple closed contour in
or
● If is analytic at all points within and on a simple closed contour then
(Beelee)
for every simple closed contour in
● If is analytic at all points within and on a simple closed contour then
Cauchy's Theorem (1825)
Suppose that a function is analytic in a simply connected domain and that is continuous in Then for every simple closed contour in
Cauchy-Goursat Theorem (1883)
의 연속성을 가정하지 않고도 코시 정리가 성립함을 증명.
Suppose a function is analytic in a simply connected domain Then for every simple closed contour in
If is analytic at all points within and on a simple closed contour then
(Zill AEM 18.2)
Suppose that a function is analytic in a simply connected domain and that is continuous in Then for every simple closed contour in
의 연속성을 가정하지 않고도 코시 정리가 성립함을 증명.
Suppose a function is analytic in a simply connected domain Then for every simple closed contour in