---
tag: 0EWMDD6C14
kind: concept
name: Domain in the complex plane
aliases: [region, complex-domain]
msc: [30A99]
sources:
  - url: https://en.wikipedia.org/wiki/Domain_(mathematical_analysis)
    locator: lead section
same_as:
  wikidata: Q11235244
  wikipedia: Domain (mathematical analysis)
---

## Summary

A domain in the complex plane is a nonempty open connected subset of $\mathbb{C}$, see the [[definition|097KNJFJ7V]].
Domains are the usual sets on which complex analysis studies holomorphic functions.