| Let $f,g$ be analytic on and inside a simple closed curve $C$. Suppose $|f(z)|>|g(z)|$ on $C$. Then $f$ and $f+g$ have the same number of zeros inside $C$. |
Let $f,g$ be analytic on and inside a simple closed curve $C$. Suppose $|f(z)|>|g(z)|$ on $C$. Then $f$ and $f+g$ have the same number of zeros inside $C$. |
