Definition:Meromorphic Function/Definition 3

Definition

Let $U \subset \C$ be an open subset of the complex plane $\C$.

A meromorphic function on $U$ is a complex function whose only singular points are poles.

Also see

• Equivalence of Definitions of Meromorphic Function

• Results about meromorphic functions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): meromorphic function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): meromorphic function
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): singular point (singularity): 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): singular point (singularity): 1.