Proposition 31.5.3.label Let $U \subset \complex$ be a connected open set with $0 \not\in U$, and $f \in C(U; \complex)$ be a branch of the logartihm, then $f$ is analytic.
Proof. By the Theorem 30.8.1.$\square$
Proposition 31.5.3.label Let $U \subset \complex$ be a connected open set with $0 \not\in U$, and $f \in C(U; \complex)$ be a branch of the logartihm, then $f$ is analytic.
Proof. By the Theorem 30.8.1.$\square$
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