I've posted this question more than one week with no reply since.
Will anybody please help/ give an idea ?
Thanks !
Hi,
I have a problem in comple analysis which regards the maximum principle that I would love to get some help with. The question is :
Let g be an analytic function in a ring S = {z | a < |Z|< b }which is continuous on the circle {z | |z| = b}. Also f(z) = 0 for every z on that circle.
Prove that f(z) = 0 for every z in S.
As I mentioned above it has to do with the maximum principle.
Looking forward for your help, anyone.
Thanks.
Popo