Bessel function

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Bessel function

Quality:

Bessel function - families of solutions to related differential equations. Article "Bessel function" in English Wikipedia has 78.7 points for quality (as of July 1, 2025). The article contains 84 references and 27 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Bessel function" was edited by 3 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article "Bessel function", its content was written by 347 registered users of English Wikipedia and edited by 1202 registered Wikipedia users in all languages.

The article is cited 497 times in English Wikipedia and cited 2020 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #775 in August 2002
  • Global: #1285 in December 2001

The highest popularity rank from 2008:

  • Local (English): #3097 in November 2014
  • Global: #8090 in November 2014

There are 36 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
1English (en)
Bessel function
78.6594
2Greek (el)
Συνάρτηση Μπέσελ
66.5348
3Catalan (ca)
Funció de Bessel
59.2969
4Chinese (zh)
贝塞尔函数
51.6155
5Spanish (es)
Función de Bessel
51.1573
6Romanian (ro)
Funcție Bessel
43.6192
7Esperanto (eo)
Funkcio de Bessel
42.2755
8Russian (ru)
Функции Бесселя
40.073
9German (de)
Bessel-Funktion
34.7781
10Hindi (hi)
बेसल फलन
30.1821
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 "Bessel function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bessel function
8 504 829
2Japanese (ja)
ベッセル関数
802 734
3Spanish (es)
Función de Bessel
708 327
4Russian (ru)
Функции Бесселя
676 930
5Chinese (zh)
贝塞尔函数
629 902
6German (de)
Bessel-Funktion
584 783
7French (fr)
Fonction de Bessel
500 448
8Italian (it)
Armoniche cilindriche
199 008
9Korean (ko)
베셀 함수
153 301
10Portuguese (pt)
Função de Bessel
140 065
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 "Bessel function" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bessel function
34 522
2Japanese (ja)
ベッセル関数
3 486
3Russian (ru)
Функции Бесселя
2 875
4Chinese (zh)
贝塞尔函数
2 314
5Spanish (es)
Función de Bessel
2 014
6French (fr)
Fonction de Bessel
1 864
7German (de)
Bessel-Funktion
1 167
8Portuguese (pt)
Função de Bessel
550
9Korean (ko)
베셀 함수
430
10Polish (pl)
Funkcje Bessela
360
More...

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

The highest AI

Language versions of the article "Bessel function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bessel function
347
2German (de)
Bessel-Funktion
126
3French (fr)
Fonction de Bessel
86
4Russian (ru)
Функции Бесселя
65
5Italian (it)
Armoniche cilindriche
64
6Japanese (ja)
ベッセル関数
46
7Spanish (es)
Función de Bessel
43
8Chinese (zh)
贝塞尔函数
40
9Dutch (nl)
Besselfunctie
38
10Polish (pl)
Funkcje Bessela
35
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 "Bessel function" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Bessel function
3
2Greek (el)
Συνάρτηση Μπέσελ
1
3Arabic (ar)
دالة بيسل
0
4Bulgarian (bg)
Функция на Бесел
0
5Catalan (ca)
Funció de Bessel
0
6Czech (cs)
Besselova funkce
0
7Danish (da)
Besselfunktion
0
8German (de)
Bessel-Funktion
0
9Esperanto (eo)
Funkcio de Bessel
0
10Spanish (es)
Función de Bessel
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 "Bessel function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Bessel function
497
2Italian (it)
Armoniche cilindriche
129
3French (fr)
Fonction de Bessel
103
4Japanese (ja)
ベッセル関数
103
5Chinese (zh)
贝塞尔函数
99
6Russian (ru)
Функции Бесселя
95
7German (de)
Bessel-Funktion
94
8Portuguese (pt)
Função de Bessel
90
9Catalan (ca)
Funció de Bessel
80
10Polish (pl)
Funkcje Bessela
79
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
arArabic
دالة بيسل
bgBulgarian
Функция на Бесел
caCatalan
Funció de Bessel
csCzech
Besselova funkce
daDanish
Besselfunktion
deGerman
Bessel-Funktion
elGreek
Συνάρτηση Μπέσελ
enEnglish
Bessel function
eoEsperanto
Funkcio de Bessel
esSpanish
Función de Bessel
etEstonian
Besseli võrrand
faPersian
تابع بسل
fiFinnish
Besselin funktiot
frFrench
Fonction de Bessel
heHebrew
פונקציית בסל
hiHindi
बेसल फलन
huHungarian
Bessel-függvény
hyArmenian
Բեսելի ֆունկցիաներ
itItalian
Armoniche cilindriche
jaJapanese
ベッセル関数
koKorean
베셀 함수
ltLithuanian
Beselio funkcija
nlDutch
Besselfunctie
noNorwegian
Bessel-funksjon
plPolish
Funkcje Bessela
ptPortuguese
Função de Bessel
roRomanian
Funcție Bessel
ruRussian
Функции Бесселя
shSerbo-Croatian
Beselova funkcija
slSlovenian
Besslova funkcija
srSerbian
Беселова функција
svSwedish
Besselfunktion
trTurkish
Bessel fonksiyonu
ukUkrainian
Функції Бесселя
uzUzbek
Bessel funktsiyalari
zhChinese
贝塞尔函数

Popularity rank trends

Best Rank English:
#3097
11.2014
Global:
#8090
11.2014

AI rank trends

Best Rank English:
#775
08.2002
Global:
#1285
12.2001

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bessel function from Wikipedia articles about Special function, Friedrich Bessel, Hankel transform, Airy disk and Helmholtz equation. Whereas reading the article about Bessel function people most often go to Wikipedia articles on Gamma function, Friedrich Bessel, Helmholtz equation, Laplaces equation and Vibrations of a circular membrane.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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.

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