Integration by reduction formulae

Integration by reduction formulae - integration technique using recurrence relations. Article "Integration by reduction formulae" in English Wikipedia has 23.8 points for quality (as of July 1, 2025). The article contains 4 references and 8 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 "Integration by reduction formulae", its content was written by 41 registered users of English Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 154 times in English Wikipedia and cited 440 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #36690 in July 2011
• Global: #185850 in July 2011

The highest popularity rank from 2008:

• Local (English): #116791 in November 2016
• Global: #206826 in November 2016

There are 8 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) Integration by reduction formulae		23.7791
2	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		17.5323
3	Korean (ko) 적분의 점화식		15.9701
4	Spanish (es) Integración por fórmulas de reducción		12.4333
5	Japanese (ja) 漸化式による積分		11.4782
6	Chinese (zh) 降次积分法		7.8703
7	Hungarian (hu) Redukciós formulák		7.7674
8	Catalan (ca) Integració per reducció		7.6358

More...

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

The most popular language versions of the article "Integration by reduction formulae" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Integration by reduction formulae		803 509
2	Chinese (zh) 降次积分法		68 069
3	Korean (ko) 적분의 점화식		9 863
4	Spanish (es) Integración por fórmulas de reducción		8 655
5	Hungarian (hu) Redukciós formulák		2 166
6	Catalan (ca) Integració per reducció		1 651
7	Japanese (ja) 漸化式による積分		1 467
8	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		55

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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 "Integration by reduction formulae" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Integration by reduction formulae		1 249
2	Japanese (ja) 漸化式による積分		178
3	Chinese (zh) 降次积分法		161
4	Spanish (es) Integración por fórmulas de reducción		100
5	Korean (ko) 적분의 점화식		91
6	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		7
7	Hungarian (hu) Redukciós formulák		5
8	Catalan (ca) Integració per reducció		4

More...

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

Language versions of the article "Integration by reduction formulae" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Integration by reduction formulae		41
2	Hungarian (hu) Redukciós formulák		6
3	Japanese (ja) 漸化式による積分		5
4	Catalan (ca) Integració per reducció		3
5	Chinese (zh) 降次积分法		3
6	Spanish (es) Integración por fórmulas de reducción		2
7	Korean (ko) 적분의 점화식		1
8	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		1

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 "Integration by reduction formulae" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Japanese (ja) 漸化式による積分		2
2	Catalan (ca) Integració per reducció		0
3	English (en) Integration by reduction formulae		0
4	Spanish (es) Integración por fórmulas de reducción		0
5	Hungarian (hu) Redukciós formulák		0
6	Korean (ko) 적분의 점화식		0
7	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		0
8	Chinese (zh) 降次积分法		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 "Integration by reduction formulae" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Integration by reduction formulae		154
2	Chinese (zh) 降次积分法		94
3	Korean (ko) 적분의 점화식		82
4	Japanese (ja) 漸化式による積分		80
5	Thai (th) การหาปริพันธ์โดยใช้สูตรลดทอน		24
6	Hungarian (hu) Redukciós formulák		4
7	Catalan (ca) Integració per reducció		2
8	Spanish (es) Integración por fórmulas de reducción		0

More...

#	Language	Value
ca	Catalan Integració per reducció
en	English Integration by reduction formulae
es	Spanish Integración por fórmulas de reducción
hu	Hungarian Redukciós formulák
ja	Japanese 漸化式による積分
ko	Korean 적분의 점화식
th	Thai การหาปริพันธ์โดยใช้สูตรลดทอน
zh	Chinese 降次积分法

Best Rank

English: #116791 11.2016

Global: #206826 11.2016

Best Rank

English: #36690 07.2011

Global: #185850 07.2011

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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