Show that if \(f_k \to f\) uniformly with \(f\) holomorphic then every \(n\)th derivative satisfies \(f_k^{(n)}\to f^{(n)}\) uniformly.
Solution
Alt:
Uniform limit of holomorphic derivatives is the derivative
E-Y22HZ
- Area
- Complex Analysis
- Topics
- Cauchy Estimates, Sequences of Functions, Uniform Convergence
- Status
- draft