---
tag: 0Y3KSN2E9X
kind: concept
name: Series of functions
aliases: [function-series]
msc: [40A30]
sources:
  - url: https://en.wikipedia.org/wiki/Function_series
    locator: lead section
same_as:
  wikidata: Q1474614
  wikipedia: Function series
---

## Summary

A series of functions is an infinite sum of functions defined on a common set. Its convergence is the convergence of its partial sums, pointwise or uniformly. The node [[series of functions|0MRE6XRE5V]] gives the precise definition.