# 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.

Title entire function EntireFunction 2013-03-22 12:04:39 2013-03-22 12:04:39 djao (24) djao (24) 10 djao (24) Definition msc 30D20 entire