Meromorphic functions#Related Articles

| Main Article
| Discussion
| Related Articles  [?]
| Bibliography  [?]
| External Links  [?]
| Citable Version  [?]

|
|
|
|
|
|
|
|

A list of Citizendium articles, and planned articles, about Meromorphic functions.

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.)

## Contents

* 1 Parent topics
* 2 Subtopics
* 3 Other related topics
* 4 Articles related by keyphrases (Bot populated)

## Parent topics[edit]

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

## Subtopics[edit]

* Holomorphic function [r]: Function f from A⊆ℂ to B⊆ℂ is called holomorphic in domain A if for every open domain E⊆A there exist derivative f′(z)∀z∈E. [e]
* Entire function [r]: is a function that is holomorphic in the whole complex plane. [e]

## Other related topics[edit]

* 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]

## Articles related by keyphrases (Bot populated)[edit]

* Exponential function [r]: Function of real or complex variable with the property that the function is equal to its first derivative. [e]
* Cartesian coordinates [r]: Set of real numbers specifying the position of a point in two- or three-dimensional space with respect to orthogonal axes. [e]
* Algebraic surface [r]: A subset S of a complex n-space which consists of the set of complex solutions of a system of polynomial equations in n variables such that S is a complex two-manifold in the neighborhood of most of its points. [e]
* Lexical semantics [r]: Subfield of linguistic semantics, which studies how and what the words of a language denote. [e]