Meromorphic functions, what are they?

[Johnny5]

This is a branch from another thread.

 

Matt, it's been a long time since I've used poles and residues.

 

I remember the method of images, and some other things here and there, but its been a long time.

 

One question....

 

What is a meromorphic function, and how does it tie into the concept of infinity?

It's a function in the complex plane that is holomorphic (analytic) except at singularities.

 

Ok, analytic functions. That was the entire first half of complex variables. Analytic functions.

 

As I recall, a function is analytic at a point, if it's differentiable there?

[fuhrerkeebs]

As I recall, a function is analytic at a point, if it's differentiable there?

 

Yeah, a function is analytic in a regionl if it's complex differentiable at every point in that region.