Q80Section C (Part C)80 of 120

Schwarz-Pick — sharp bounds for a self-map of the disc

Let $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$ and $f:\mathbb{D}\to\mathbb{D}$ be a holomorphic function which satisfies $f(-1/2)=0$ . Which of the following statements are necessarily true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next