Domain of holomorphy
id:
domain-of-holomorphy-232-11641821
title:
Domain of holomorphy
text:
In mathematics, in the theory of functions of several complex variables, a domain of holomorphy is a domain which is maximal in the sense that there exists a holomorphic function on this domain which cannot be extended to a bigger domain. Formally, an open set Ω in the n-dimensional complex space C n is called a domain of holomorphy if there do not exist non-empty open sets U ⊂ Ω and V ⊂ C n where V is connected, V ⊄ Ω and U ⊂ Ω ∩ V such that for every holomorphic function f on Ω there exists a
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Domain_of_holomorphy
date created:
date modified:
2022-03-22T14:46:59Z
main entity:
{"identifier":"Q1625065","url":"https://www.wikidata.org/entity/Q1625065"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/fc/Domain_of_holomorphy_illustration.svg","width":1136,"height":969}
fields total:
13
integrity:
14