Jacobi–Anger expansion

en

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Jacobi–Anger expansion

Quality:

Jacobi–Anger expansion - expansion of exponentials of trigonometric functions in the basis of their harmonics. Article “Jacobi–Anger expansion” in English Wikipedia has 22.2 points for quality (as of July 1, 2025). The article contains 5 references and 5 sections.

This article has the best quality in Turkish Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Jacobi–Anger expansion”, its content was written by 17 registered users of English Wikipedia and edited by 35 registered Wikipedia users in all languages.

The article is cited 13 times in English Wikipedia and cited 19 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #138807 in November 2007
  • Global: #310061 in November 2007

The highest popularity rank from 2008:

  • Local (English): #552667 in February 2025
  • Global: #891822 in May 2025

There are 5 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Turkish (tr)
Jacobi-Anger açılımı
27.6428
2Hungarian (hu)
Jacobi–Anger-azonosság
25.677
3Korean (ko)
야코비-앙거 전개
23.1299
4English (en)
Jacobi–Anger expansion
22.1524
5Chinese (zh)
雅可比-安格展开式
20.4175
More...

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

Most popular in all the time

The most popular language versions of the article "Jacobi–Anger expansion" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi–Anger expansion
165 514
2Turkish (tr)
Jacobi-Anger açılımı
2 686
3Korean (ko)
야코비-앙거 전개
2 194
4Hungarian (hu)
Jacobi–Anger-azonosság
1 987
5Chinese (zh)
雅可比-安格展开式
1 235
More...

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

Most popular in June 2025

The most popular language versions of the article "Jacobi–Anger expansion" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi–Anger expansion
1 461
2Chinese (zh)
雅可比-安格展开式
77
3Korean (ko)
야코비-앙거 전개
13
4Hungarian (hu)
Jacobi–Anger-azonosság
12
5Turkish (tr)
Jacobi-Anger açılımı
2
More...

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

The highest AI

Language versions of the article "Jacobi–Anger expansion" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Jacobi–Anger expansion
17
2Hungarian (hu)
Jacobi–Anger-azonosság
8
3Turkish (tr)
Jacobi-Anger açılımı
7
4Korean (ko)
야코비-앙거 전개
2
5Chinese (zh)
雅可比-安格展开式
1
More...

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

The highest AI in June 2025

Language versions of the article "Jacobi–Anger expansion" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Jacobi–Anger expansion
0
2Hungarian (hu)
Jacobi–Anger-azonosság
0
3Korean (ko)
야코비-앙거 전개
0
4Turkish (tr)
Jacobi-Anger açılımı
0
5Chinese (zh)
雅可比-安格展开式
0
More...

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

The highest CI

Language versions of the article "Jacobi–Anger expansion" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Jacobi–Anger expansion
13
2Hungarian (hu)
Jacobi–Anger-azonosság
3
3Korean (ko)
야코비-앙거 전개
2
4Turkish (tr)
Jacobi-Anger açılımı
1
5Chinese (zh)
雅可比-安格展开式
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Jacobi–Anger expansion
huHungarian
Jacobi–Anger-azonosság
koKorean
야코비-앙거 전개
trTurkish
Jacobi-Anger açılımı
zhChinese
雅可比-安格展开式

Popularity rank trends

Best Rank English:
#552667
02.2025
Global:
#891822
05.2025

AI rank trends

Best Rank English:
#138807
11.2007
Global:
#310061
11.2007

Languages comparison

Important global interconnections (July 2024 – June 2025)

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

About WikiRank

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