---
tag: 0H5SYBSED9
kind: concept
name: Gamma function
msc: [33B15]
sources:
  - url: https://en.wikipedia.org/wiki/Gamma_function
    locator: lead section
same_as:
  wikidata: Q190573
  wikipedia: Gamma function
---

## Summary

The gamma function extends the factorial to real arguments. For $s > 0$ it is an improper integral, and it satisfies $\Gamma(n + 1) = n!$ for natural numbers $n$. The node [[gamma function|0V3FZMVB4K]] gives the precise definition.