Removed parts from Zhu citations.
This commit is contained in:
@@ -74,7 +74,7 @@
|
||||
|
||||
then $f = 1$.
|
||||
\end{proposition}
|
||||
\begin{proof}[Proof, {{\cite[Lemma I.4.4]{Zhu}}}. ]
|
||||
\begin{proof}[Proof, {{\cite[Lemma 4.4]{Zhu}}}. ]
|
||||
By (c) and \autoref{proposition:entire-logarithm}, there exists $g \in H(\complex; \complex)$ such that $f = e^g$. Since $f(0) = 1$, $g(0) = 0$. As $f'(0) = g'(0)f(0) = 0$, $g'(0) = 0$ as well.
|
||||
|
||||
From (c), $|g(z)| \le e^{|z|}$ for each $z \in \complex$. Thus for every $r > 0$ and $z \in B_\complex(0, r)$, $|g(z)| \le |g(z) - 2r|$, and
|
||||
|
||||
Reference in New Issue
Block a user