# Definition:Analysis/Complex

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## Definition

**Complex analysis** is a branch of mathematics that studies complex functions.

## Also see

- Results about
**complex analysis**can be found here.

## Historical Note

The field of complex analysis, and the theory of functions of a complex variable was in effect created by Augustin Louis Cauchy.

Karl Weierstrass rebuilt the entire mathematical discipline from the ground up in the process of his studies into Abelian functions.