Meromorphic function
function that is holomorphic everywhere except for a set of isolated points where the function may have poles
A meromorphic function is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined) on all of an open set except for a set of isolated points, which are poles of the function.
All rational functions, for exampleare meromorphic on the whole complex plane.
