Meromorphic functions/Related Articles

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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.)


Parent topics

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]

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]