Let \(f:\mathbb {D}\to \mathbb {D}\) be holomorphic and \(f(0)=a\). Show that \(f\) has no zeros in \(\{z\in \mathbb {C}\mid |z|<|a|\}\).
Question
Math 6220 • Complex Analysis
Summer 2023 • Question 2
Question
Summer 2023 • Question 2
Let \(f:\mathbb {D}\to \mathbb {D}\) be holomorphic and \(f(0)=a\). Show that \(f\) has no zeros in \(\{z\in \mathbb {C}\mid |z|<|a|\}\).