---
tag: 0V49JEZW06
kind: concept
name: Laplace transform
msc: [44A10]
sources:
  - url: https://en.wikipedia.org/wiki/Laplace_transform
    locator: lead section
same_as:
  wikidata: Q199691
  wikipedia: Laplace transform
---

## Summary

The Laplace transform is an integral transform. It sends a function $f$ of a real variable $t \ge 0$ to the function $F(s) = \int_0^\infty f(t) e^{-st}\, dt$ of a complex variable $s$.
It is named after Pierre-Simon Laplace. See the [[definition|05XT5AVJBK]].