Fixed points of analytic complex functions on unit disk $\mathbb{D}$

Let $f: \mathbb{D}\rightarrow \mathbb{D}$ be an analytic complex valued function, where $\mathbb{D}$ is the unit disk. How many of fixed points  $f$ may have in $\mathbb{D}$ ?

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

Erdos Erdos
Judge
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.