---
tag: 0RVD9R2V99
kind: concept
name: Cauchy product
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Cauchy_product
    locator: lead section
same_as:
  wikidata: Q1051404
  wikipedia: Cauchy product
---

## Summary

The Cauchy product of two series is the series whose $n$-th term is the sum of the products $a_k b_{n-k}$. It is the discrete convolution of the two sequences of terms. The node [[Cauchy product|0B1K9PVWE9]] gives the precise definition.