# Complex analysis/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Complex analysis, or pages that link to Complex analysis or to this page or whose text contains "Complex analysis".*

## Contents

## Parent topics

## Subtopics

### Disciplines within complex analysis

- Harmonic analysis [r]:
*Add brief definition or description* - Several complex variables [r]: Field of mathematics, precisely of complex analysis, that studies those properties which characterize functions of more than one complex variable.
^{[e]}

### Other subtopics

- Analytic function [r]:
*Add brief definition or description* - Entire function [r]: is a function that is holomorphic in the whole complex plane.
^{[e]} - Taylor series [r]: Representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point.
^{[e]} - Proof that holomorphic functions are analytic [r]:
*Add brief definition or description* - Meromorphic function [r]:
*Add brief definition or description* - Pole [r]:
*Add brief definition or description* - Residue [r]: Complex number which describes the behavior of line integrals of a meromorphic function around a singularity.
^{[e]} - Cauchy's integral formula [r]:
*Add brief definition or description* - Laurent series [r]:
*Add brief definition or description* - Cauchy–Riemann equations [r]:
*Add brief definition or description* - Riemann surface [r]:
*Add brief definition or description*

- Complex number [r]: Numbers of the form
*a+bi*, where*a*and*b*are real numbers and*i*denotes a number satisfying .^{[e]} - Real analysis [r]:
*Add brief definition or description*

### People

- Augustin-Louis Cauchy [r]: (1789 – 1857) prominent French mathematician, one of the pioneers of rigor in mathematics and complex analysis.
^{[e]} - Bertrand Riemann [r]:
*Add brief definition or description* - Karl Weierstrass [r]:
*Add brief definition or description*