Residue (complex analysis)

Residue - coefficient of the term of order −1 in the Laurent expansion of a function holomorphic outside a point, whose value can be extracted by a contour integral. Article "Residue (complex analysis)" in English Wikipedia has 29.1 points for quality (as of July 1, 2025). The article contains 0 references and 16 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Residue (complex analysis)", its content was written by 98 registered users of English Wikipedia and edited by 444 registered Wikipedia users in all languages.

The article is cited 87 times in English Wikipedia and cited 475 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #3405 in January 2003
• Global: #6287 in January 2003

The highest popularity rank from 2008:

• Local (English): #79886 in October 2014
• Global: #67375 in December 2014

There are 24 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Residue (complex analysis)		29.0823
2	Arabic (ar) راسب (تحليل مركب)		27.1911
3	Chinese (zh) 留数		18.8296
4	Russian (ru) Вычет (комплексный анализ)		17.4734
5	Hebrew (he) שארית (אנליזה מרוכבת)		15.2513
6	Turkish (tr) Kalıntı (karmaşık analiz)		15.0124
7	Catalan (ca) Residu (anàlisi complexa)		13.8651
8	German (de) Residuum (Funktionentheorie)		13.7065
9	Finnish (fi) Residy		12.1041
10	Polish (pl) Residuum funkcji holomorficznej		11.5254

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Residue (complex analysis)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Residue (complex analysis)		1 509 454
2	Russian (ru) Вычет (комплексный анализ)		438 032
3	German (de) Residuum (Funktionentheorie)		412 527
4	Japanese (ja) 留数		373 679
5	French (fr) Résidu (analyse complexe)		208 906
6	Italian (it) Residuo (analisi complessa)		188 936
7	Polish (pl) Residuum funkcji holomorficznej		145 578
8	Spanish (es) Residuo (análisis complejo)		139 388
9	Chinese (zh) 留数		104 865
10	Portuguese (pt) Resíduo (análise complexa)		46 201

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Residue (complex analysis)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Residue (complex analysis)		4 815
2	Russian (ru) Вычет (комплексный анализ)		1 457
3	German (de) Residuum (Funktionentheorie)		1 173
4	Japanese (ja) 留数		1 136
5	French (fr) Résidu (analyse complexe)		580
6	Italian (it) Residuo (analisi complessa)		556
7	Chinese (zh) 留数		516
8	Spanish (es) Residuo (análisis complejo)		449
9	Polish (pl) Residuum funkcji holomorficznej		380
10	Czech (cs) Reziduum (matematika)		136

More...

The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Residue (complex analysis)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Residue (complex analysis)		98
2	German (de) Residuum (Funktionentheorie)		47
3	Russian (ru) Вычет (комплексный анализ)		42
4	French (fr) Résidu (analyse complexe)		41
5	Dutch (nl) Residu (functietheorie)		31
6	Italian (it) Residuo (analisi complessa)		26
7	Japanese (ja) 留数		25
8	Polish (pl) Residuum funkcji holomorficznej		20
9	Finnish (fi) Residy		14
10	Catalan (ca) Residu (anàlisi complexa)		10

More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Residue (complex analysis)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Czech (cs) Reziduum (matematika)		1
2	Arabic (ar) راسب (تحليل مركب)		0
3	Catalan (ca) Residu (anàlisi complexa)		0
4	German (de) Residuum (Funktionentheorie)		0
5	English (en) Residue (complex analysis)		0
6	Spanish (es) Residuo (análisis complejo)		0
7	Persian (fa) مانده (آنالیز مختلط)		0
8	Finnish (fi) Residy		0
9	French (fr) Résidu (analyse complexe)		0
10	Hebrew (he) שארית (אנליזה מרוכבת)		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Residue (complex analysis)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Residue (complex analysis)		87
2	Japanese (ja) 留数		52
3	Russian (ru) Вычет (комплексный анализ)		40
4	German (de) Residuum (Funktionentheorie)		37
5	French (fr) Résidu (analyse complexe)		30
6	Ukrainian (uk) Лишок		30
7	Korean (ko) 유수 (복소해석학)		22
8	Italian (it) Residuo (analisi complessa)		21
9	Spanish (es) Residuo (análisis complejo)		19
10	Catalan (ca) Residu (anàlisi complexa)		18

More...

#	Language	Value
ar	Arabic راسب (تحليل مركب)
ca	Catalan Residu (anàlisi complexa)
cs	Czech Reziduum (matematika)
de	German Residuum (Funktionentheorie)
en	English Residue (complex analysis)
es	Spanish Residuo (análisis complejo)
fa	Persian مانده (آنالیز مختلط)
fi	Finnish Residy
fr	French Résidu (analyse complexe)
he	Hebrew שארית (אנליזה מרוכבת)
hu	Hungarian Reziduum
hy	Armenian Մնացք (կոմպլեքս անալիզ)
it	Italian Residuo (analisi complessa)
ja	Japanese 留数
ko	Korean 유수 (복소해석학)
nl	Dutch Residu (functietheorie)
pl	Polish Residuum funkcji holomorficznej
pt	Portuguese Resíduo (análise complexa)
ru	Russian Вычет (комплексный анализ)
sv	Swedish Residy
tr	Turkish Kalıntı (karmaşık analiz)
uk	Ukrainian Лишок
vi	Vietnamese Thặng dư (giải tích phức)
zh	Chinese 留数

Best Rank

English: #79886 10.2014

Global: #67375 12.2014

Best Rank

English: #3405 01.2003

Global: #6287 01.2003

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information