Meromorphic Functions#Related Articles

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

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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[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 ${\displaystyle f}$ from ${\displaystyle A\subseteq \mathbb{ℂ}}$ to ${\displaystyle B\subseteq \mathbb{ℂ}}$ is called holomorphic in domain ${\displaystyle A}$ if for every open domain ${\displaystyle E\subseteq A}$ there exist derivative ${\displaystyle f^{\prime }(z)\mathrm{\forall }z\in E}$. ^[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]