$z_0$ is a pole of $f$

Let $f$ be an analytic function on a punctured neighborhood of $x_0\in 𝐂$, that is, $f$ analytic on

for some $\epsilon >0$ and such that

$$\underset{z\to z_0}{lim}|f(z)|=\mathrm{\infty }.$$

We say then that $x_0$ is a pole for $f$.

Title	$z_0$ is a pole of $f$
Canonical name	Z0IsAPoleOfF
Date of creation	2013-03-22 14:00:55
Last modified on	2013-03-22 14:00:55
Owner	drini (3)
Last modified by	drini (3)
Numerical id	7
Author	drini (3)
Entry type	Definition
Classification	msc 30A99