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Complex analysis

Branch of mathematics studying functions of a complex variable

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionAug 30, 2026
Entity authoritySource title only
Source-derived summary

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.

Editorial summary

This brief starts where responsible research should: with the source description of “Complex analysis” as branch of mathematics studying functions of a complex variable. Everything that follows is an evidence route, not borrowed authority.

Editorial reviewA concise reference frame for defining the subject, testing terminology and identifying the institution closest to the evidence. The current 80-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. The account is most persuasive where Complex, analysis and Branch can be independently traced.
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Why this record matters

The subject matters to the general reference register because the source frames it as branch of mathematics studying functions of a complex variable. Its deeper value depends on whether names, dates, institutions and citations support that framing.

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Named sources, stable identifiers and responsible institutions provide the strongest route from overview to verifiable evidence. The source revision retrieved here is dated Aug 30, 2026.

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Source & attribution

This entry incorporates text from “Complex analysis” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.