entire function

An entire function is a function $f:ℂ⟶ℂ$ which is holomorphic everywhere on the complex domain $ℂ$.

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
Canonical name	EntireFunction
Date of creation	2013-03-22 12:04:39
Last modified on	2013-03-22 12:04:39
Owner	djao (24)
Last modified by	djao (24)
Numerical id	10
Author	djao (24)
Entry type	Definition
Classification	msc 30D20
Synonym	entire