---
tag: 0MZB06ST2B
kind: concept
name: Power series
msc: [30B10]
sources:
  - url: https://en.wikipedia.org/wiki/Power_series
    locator: lead section
same_as:
  wikidata: Q206925
  wikipedia: Power series
---

## Summary

A power series is an infinite sum of terms $a_n (x - c)^n$, with constant coefficients $a_n$ and center $c$. Inside its radius of convergence, it defines a function. The node [[power series|0VP56B4EMX]] gives the precise definition.