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# entire function

An *entire function* is a function $f:\mathbb{C}\longrightarrow\mathbb{C}$ which is holomorphic everywhere on the complex domain $\mathbb{C}$.

For example, a polynomial is holomorphic everywhere, as is the exponential function. The function $z\mapsto 1/z$ is not holomorphic at zero, so it is not entire; it is meromorphic.

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entire

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Definition

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