# Meromorphic functions/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Meromorphic functions, or pages that link to Meromorphic functions or to this page or whose text contains "Meromorphic functions".*

In complex analysis, a **meromorphic function** on an open subset *D* of the complex plane is a function that is holomorphic on all *D* *except* a set of isolated points, which are poles for the function. (The terminology comes from the Ancient Greek “meros” (μέρος), meaning *part*, as opposed to “holos” (ὅλος), meaning *whole*.)

## Parent topics

- Function of complex variable [r]:
*Add brief definition or description* - Mathematical analysis [r]:
*Add brief definition or description*

## Subtopics

- Holomorphic function [r]: Function from to is called
**holomorphic**in domain if for every open domain there exist derivative .^{[e]} - Entire function [r]: is a function that is holomorphic in the whole complex plane.
^{[e]}

- Special function [r]: Various families of solution functions corresponding to cases of the hypergeometric equation or functions used in the equation's study, such as the gamma function.
^{[e]}