AoPSWiki

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

Personal tools

Search

Toolbox

Meromorphic

From AoPSWiki

Revision as of 21:41, 28 March 2009 by Jam (Talk | contribs)

(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

This article is a stub. Help us out by expanding it.

Let $D\subseteq\mathbb{C}$ be a connected open set in the complex plane. A function $f$ on $D$ is said to be meromorphic if there are functions $g$ and $h$ which are holomorphic on $D$ , $h$ has isolated zeros and $f$ can be written as $f(z)=\frac{g(z)}{h(z)}$ wherever $h(z)\neq 0$ .

Retrieved from "http://www.artofproblemsolving.com/Wiki/index.php/Meromorphic"

Categories: Stubs | Complex analysis

Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.

© Copyright 2008 AoPS Incorporated. All Rights Reserved. • Foundation • Privacy • Contact Us