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complex analysis

Branch of mathematics studying functions of a complex variable

Entitybranch of mathematics mathematical theoryQ193756

Also known as function theory of one complex variable

Instance of: branch of mathematics
, mathematical theory
Subclass of: mathematical analysis
Part of: complex analysis in several variables

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that studies complex-valued functions of one or more complex variables. It is used in many branches of mathematics, including functional analysis, algebraic geometry, number theory, analytic combinatorics, and applied mathematics, as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. It also has applications in engineering fields, such as nuclear, aerospace, mechanical, and electrical engineering.

Overview

All data

32 statements · 25% with external sources · numbers in brackets are citations

Opposite of: real analysis

On other databases

27 identifiers linking complex analysis across the web's reference databases

Data quality

statements

25%

externally sourced

Source last edited August 17, 2026. AIDB refreshes this page daily.

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AIDB. (2026). complex analysis (Q193756). Retrieved from https://aidb.si/e/complex-analysis-Q193756