Let \(f\) be entire and suppose \[ \operatorname{Re} f(z)\le 10 \qquad(z\in\mathbb C). \] Show that \(f\) is constant.
An entire function with real part bounded above is constant
P-WESCA04-P1
- Area
- Complex Analysis
- Seen at
- WESLEYAN
- Years
- 2004
- Status
- draft