Cauchy's integral formula

Cauchy's integral formula - provides integral formulas for all derivatives of a holomorphic function. Article “Cauchy's integral formula” in English Wikipedia has 37.3 points for quality (as of July 1, 2025). The article contains 9 references and 12 sections.

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

Since the creation of article “Cauchy's integral formula”, its content was written by 124 registered users of English Wikipedia and edited by 535 registered Wikipedia users in all languages.

The article is cited 123 times in English Wikipedia and cited 585 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #3401 in January 2003
• Global: #6283 in January 2003

The highest popularity rank from 2008:

• Local (English): #81393 in November 2014
• Global: #83963 in January 2015

There are 34 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) Cauchy's integral formula		37.3478
2	Slovak (sk) Cauchyho integrálna formula		32.7368
3	Catalan (ca) Fórmula de la integral de Cauchy		29.5435
4	Turkish (tr) Cauchy integral formülü		29.3823
5	Chinese (zh) 柯西積分公式		27.4368
6	Greek (el) Ολοκληρωτικός τύπος του Κωσύ		22.5581
7	Portuguese (pt) Fórmula integral de Cauchy		22.3968
8	Serbian (sr) Кошијева интегрална формула		22.176
9	Spanish (es) Fórmula integral de Cauchy		21.031
10	Galician (gl) Fórmula integral de Cauchy		20.9774

More...

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

The most popular language versions of the article "Cauchy's integral formula" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy's integral formula		1 915 395
2	German (de) Cauchysche Integralformel		268 794
3	Russian (ru) Интегральная формула Коши		258 067
4	French (fr) Formule intégrale de Cauchy		175 233
5	Japanese (ja) コーシーの積分公式		171 588
6	Spanish (es) Fórmula integral de Cauchy		144 886
7	Italian (it) Formula integrale di Cauchy		138 562
8	Chinese (zh) 柯西積分公式		96 868
9	Polish (pl) Wzór całkowy Cauchy’ego		96 537
10	Portuguese (pt) Fórmula integral de Cauchy		72 435

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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 "Cauchy's integral formula" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy's integral formula		7 093
2	Russian (ru) Интегральная формула Коши		967
3	German (de) Cauchysche Integralformel		877
4	French (fr) Formule intégrale de Cauchy		707
5	Spanish (es) Fórmula integral de Cauchy		561
6	Chinese (zh) 柯西積分公式		533
7	Italian (it) Formula integrale di Cauchy		509
8	Japanese (ja) コーシーの積分公式		484
9	Polish (pl) Wzór całkowy Cauchy’ego		434
10	Hebrew (he) נוסחת האינטגרל של קושי		210

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

Language versions of the article "Cauchy's integral formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Cauchy's integral formula		124
2	French (fr) Formule intégrale de Cauchy		56
3	German (de) Cauchysche Integralformel		46
4	Italian (it) Formula integrale di Cauchy		38
5	Russian (ru) Интегральная формула Коши		31
6	Hebrew (he) נוסחת האינטגרל של קושי		22
7	Spanish (es) Fórmula integral de Cauchy		20
8	Japanese (ja) コーシーの積分公式		18
9	Finnish (fi) Cauchyn integraalikaava		14
10	Dutch (nl) Integraalformule van Cauchy		14

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

Language versions of the article "Cauchy's integral formula" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) صيغة كوشي التكاملية		0
2	Catalan (ca) Fórmula de la integral de Cauchy		0
3	Czech (cs) Cauchyův vzorec		0
4	German (de) Cauchysche Integralformel		0
5	Greek (el) Ολοκληρωτικός τύπος του Κωσύ		0
6	English (en) Cauchy's integral formula		0
7	Esperanto (eo) Koŝia integrala formulo		0
8	Spanish (es) Fórmula integral de Cauchy		0
9	Estonian (et) Cauchy integraalvalem		0
10	Basque (eu) Cauchyren formula integral		0

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

Language versions of the article "Cauchy's integral formula" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Cauchy's integral formula		123
2	French (fr) Formule intégrale de Cauchy		40
3	Turkish (tr) Cauchy integral formülü		34
4	Hebrew (he) נוסחת האינטגרל של קושי		32
5	German (de) Cauchysche Integralformel		30
6	Russian (ru) Интегральная формула Коши		27
7	Chinese (zh) 柯西積分公式		27
8	Japanese (ja) コーシーの積分公式		22
9	Vietnamese (vi) Công thức tích phân Cauchy		22
10	Italian (it) Formula integrale di Cauchy		21

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#	Language	Value
ar	Arabic صيغة كوشي التكاملية
ca	Catalan Fórmula de la integral de Cauchy
cs	Czech Cauchyův vzorec
de	German Cauchysche Integralformel
el	Greek Ολοκληρωτικός τύπος του Κωσύ
en	English Cauchy's integral formula
eo	Esperanto Koŝia integrala formulo
es	Spanish Fórmula integral de Cauchy
et	Estonian Cauchy integraalvalem
eu	Basque Cauchyren formula integral
fa	Persian فرمول انتگرال کوشی
fi	Finnish Cauchyn integraalikaava
fr	French Formule intégrale de Cauchy
gl	Galician Fórmula integral de Cauchy
he	Hebrew נוסחת האינטגרל של קושי
hi	Hindi कौशी समाकल सूत्र
hu	Hungarian Cauchy-integrálképlet
hy	Armenian Կոշիի ինտեգրալ
it	Italian Formula integrale di Cauchy
ja	Japanese コーシーの積分公式
ka	Georgian კოშის ინტეგრალი
ko	Korean 코시 적분 공식
nl	Dutch Integraalformule van Cauchy
pl	Polish Wzór całkowy Cauchy’ego
pt	Portuguese Fórmula integral de Cauchy
ru	Russian Интегральная формула Коши
simple	Simple English Cauchy's integral formula
sk	Slovak Cauchyho integrálna formula
sr	Serbian Кошијева интегрална формула
sv	Swedish Cauchys integralformel
tr	Turkish Cauchy integral formülü
uk	Ukrainian Інтегральна формула Коші
vi	Vietnamese Công thức tích phân Cauchy
zh	Chinese 柯西積分公式

Best Rank

English: #81393 11.2014

Global: #83963 01.2015

Best Rank

English: #3401 01.2003

Global: #6283 01.2003

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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