---
tag: 00GC8ZQP4Q
kind: concept
name: Zero of a holomorphic function
aliases: [zero, root-of-a-function]
msc: [30C15]
sources:
  - url: https://en.wikipedia.org/wiki/Zeros_and_poles
    locator: Definitions
---

## Summary

A zero of a holomorphic function $f$ is a point $z_0$ with $f(z_0) = 0$, see the [[definition|0CEGEASY49]].
The zeros of a holomorphic function that is not identically zero on a domain are isolated, and each has a finite order.