Does there exist a sequence of polynomials $P_{n}(z)$ such that $e^{P_{n}(z)}$ converges uniformly on compact sets to $z?$
Any chance that theorems like Montel's should be used?
Does there exist a sequence of polynomials $P_{n}(z)$ such that $e^{P_{n}(z)}$ converges uniformly on compact sets to $z?$
Any chance that theorems like Montel's should be used?