Entire 2001-12-28 05:24:56 2004-11-28 22:41:50 Definition \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{graphicx} \usepackage{xypic} An \emph{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.