Problem. Find all meromorphic functions $f$ s.t. $|f(z)|=1$ wherever $|z|=1$.
I know this problem has been solved in this posting. However, I cannot show $f$ has only finite number of poles and zeros. Any hints?
2026-03-25 15:42:23.1774453343
Find all meromorphic functions $f$ s.t. $|f(z)|=1$ wherever $|z|=1$.
179 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in COMPLEX-ANALYSIS
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