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The answer is negative. A simple example is $e^{e^{-z^2}}-1$.
In general, you can approximate almost anything by an entire function: the precise statement is given by Arakelyan's theorem
The answer is negative. A simple example is $e^{e^{-z^2}}-1$.
The answer is negative. A simple example is $e^{e^{-z^2}}-1$.
In general, you can approximate almost anything by an entire function: the precise statement is given by Arakelyan's theorem
