---
tag: 081WKEDK6C
kind: concept
name: Analytic function
msc: ["26E05"]
sources:
  - url: https://en.wikipedia.org/wiki/Analytic_function
    locator: lead section
same_as:
  wikidata: Q215084
  wikipedia: Analytic function
---

## Summary

An analytic function is a function that is given locally by a convergent power series. Analytic functions are smooth, but not all smooth functions are analytic. The node [[analytic function|0JD5ZNW0F4]] gives the precise definition.