Answer by josephz for Exercise on analytic functions on the unit disk
For each $z_0\in D$ we write $N(z_0)$ for the number of zeroes of the analytic function $f(z)-z_0$ in $D$. Then from the argument principle it follows that\begin{align}N(z_0)=&\frac{1}{2\pi...
View ArticleExercise on analytic functions on the unit disk
Let $f: \bar{D} \rightarrow \mathbb{C}$ be analytic function in $D$ and continues on $\bar{D}$ where $D$ denotes the open unit disk and $\bar{D}$ denotes the close unit disk. Also, it is given than for...
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