Math 6420 • PDE

\begin{enumerate}
\item[(a)] Show that any analytic function (not identically equal to zero) can have only
isolated zeros inside its analyticity domain.

\item[(b)] Can an analytic function have a non-isolated singularuty?

\item[(c)] Prove the Uniqueness Theorem: If two functions are analytic in a domain \(D\) and
equal on some set of points that has a limiting point inside \(D\), then these functions are
identically equal in \(D\).
\end{enumerate}