simple pole

A simple poleMathworldPlanetmathPlanetmath is a pole of order 1. That is, a meromorphic function f has a simple pole at x0 if


where a0, and g is holomorphic at x0.

Note that a in the equation above is the residue of f at x0.

Title simple pole
Canonical name SimplePole
Date of creation 2013-03-22 13:15:55
Last modified on 2013-03-22 13:15:55
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 7
Author bwebste (988)
Entry type Definition
Classification msc 30D30