# Complex Analysis Question

1. Mar 27, 2008

### ultimateceej

I don't really know which forum to post this in but I just have a quick question:

Is it sufficient to say that a function is analytic on a domain if it has a derivative and the derivative is continuous?

2. Mar 27, 2008

### Diffy

Any analytic function is smooth, that is, infinitely differentiable. The converse is not true; in fact, in a certain sense, the analytic functions are rather sparse compared to the infinitely differentiable functions.

3. Mar 27, 2008