# Cauchy integral formula

There are a collection of results and theorems in complex analysis attributed to Cauchy.

These include, but are not limited to the Cauchy's theorem and the Cauchy integral theorems.

## Cauchy's theorem

Most commonly the reference to Cauchy's theorem is the following:

Given a complex valued function of the complex variable analytic in some region of the complex plane, and for which is analytic both inside and on the simple closed curve inside then

## Cauchy integral theorem

The Cauchy Integral theorem states that for a function which is analytic inside and on a simple closed curve in some region of the complex plane, for a complex number inside

## Cauchy integral formulas

The Cauchy Integral formulas for a complex valued function which is analytic inside and on a simple closed curve in some region of the complex plane, for a complex number inside