Let \(f(z)=e^{z^2}\) and \[ S=\{x+iy:0\le x\le2,\ 0\le y\le2\}. \]
Compute the maximum value of \(|f(z)|\) on \(S\).
Find the set of points in \(S\) where this maximum is attained.
Maximum modulus of $e^{z^2}$ on a square
P-WESCA05-II3
- Area
- Complex Analysis
- Seen at
- WESLEYAN
- Years
- 2005
- Status
- draft