Consider $\Omega \subseteq \mathbb{C}$ be open. Let $f:\Omega \rightarrow \mathbb{C}$ be holomorphic on $\Omega$. For any closed ball $B[a;r]$ in $\Omega$ does there exist a sequence of polynomials $(p_n(z))_{n=1}^\infty$ such that $p_n(z) \rightarrow f(z)$ uniformly on $B[a;r]$?
2026-03-27 21:34:37.1774647277
Polynomial Approximation of Holomorphic Functions
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