Let \(D\subset\mathbb C\) be a domain and let \(f:D\to\mathbb C\) be analytic and injective. Prove that \[ f'(z)\ne0\qquad(z\in D). \]
An injective analytic function has nonvanishing derivative
P-WESCA10-II4
- Area
- Complex Analysis
- Seen at
- WESLEYAN
- Years
- 2010
- Status
- draft