Meromorphic functions/Related Articles

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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

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

Subtopics

• Holomorphic function [r]: Function $f$ from $A\subseteq \mathbb {C}$ to $B\subseteq \mathbb {C}$ is called holomorphic in domain $A$ if for every open domain $E\subseteq A$ there exist derivative $f'(z)~\forall ~z\in E$. ^[e]
• Entire function [r]: is a function that is holomorphic in the whole complex plane. ^[e]

Other related topics

• 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)

• 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]