Definition:Meromorphic Function
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Definition
Let $U \subset \C$ be an open set.
A meromorphic function on $U$ is a holomorphic function on the complement of a discrete subset $P \subset U$ such that:
- for all $p\in P$, $f$ has either a pole or removable singularity at $p$.
Also see
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: meromorphic function
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: meromorphic function
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: meromorphic function