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meromorphic

(Definition)

Let $U \subset \mathbb{C}$ be a domain. A function $f: U \longrightarrow \mathbb{C}$ is meromorphic if is holomorphic except at an isolated set of poles.

It can be proven that if is meromorphic then its set of poles does not have an accumulation point.

"meromorphic" is owned by djao.

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Attachments:: meromorphic functions of several variables (Definition) by jirka
meromorphic extension (Definition) by Wkbj79

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Cross-references: accumulation point, poles, isolated set, holomorphic, function, domain
There are 24 references to this entry.

This is version 2 of meromorphic, born on 2002-01-04, modified 2002-07-25.
Object id is 1199, canonical name is Meromorphic.
Accessed 4990 times total.

Classification:

30D30 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Meromorphic functions, general theory)

Pending Errata and Addenda

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