Proposition 27.2.3.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 26.8.1.$\square$
Proposition 27.2.3.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 26.8.1.$\square$