Lambert W function

Lambert W function - multivalued function that is the inverse of the map z ↦ z exp(z). Article "Lambert W function" in English Wikipedia has 80.4 points for quality (as of July 1, 2025). The article contains 76 references and 50 sections.

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 "Lambert W function" was edited by 3 authors in English Wikipedia and written by 7 authors in all languages.

Since the creation of article "Lambert W function", its content was written by 261 registered users of English Wikipedia and edited by 645 registered Wikipedia users in all languages.

The article is cited 97 times in English Wikipedia and cited 456 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #1799 in September 2002
• Global: #3148 in September 2002

The highest popularity rank from 2008:

• Local (English): #25121 in November 2023
• Global: #31910 in December 2023

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) Lambert W function		80.4325
2	Indonesian (id) Fungsi Lambert W		57.0011
3	Chinese (zh) 朗伯W函数		54.4991
4	German (de) Lambertsche W-Funktion		44.9539
5	French (fr) Fonction W de Lambert		41.5755
6	Hungarian (hu) Lambert-féle W-függvény		41.2354
7	Italian (it) Funzione W di Lambert		34.8202
8	Slovenian (sl) Lambertova funkcija W		34.3644
9	Japanese (ja) ランベルトのW関数		32.7821
10	Spanish (es) Función W de Lambert		31.828

More...

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

The most popular language versions of the article "Lambert W function" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Lambert W function		2 410 683
2	French (fr) Fonction W de Lambert		247 034
3	German (de) Lambertsche W-Funktion		226 501
4	Japanese (ja) ランベルトのW関数		193 701
5	Spanish (es) Función W de Lambert		170 467
6	Russian (ru) W-функция Ламберта		152 925
7	Chinese (zh) 朗伯W函数		126 004
8	Italian (it) Funzione W di Lambert		91 962
9	Polish (pl) Funkcja W Lamberta		77 419
10	Portuguese (pt) Função W de Lambert		48 019

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 "Lambert W function" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Lambert W function		21 204
2	French (fr) Fonction W de Lambert		3 121
3	Japanese (ja) ランベルトのW関数		2 148
4	Italian (it) Funzione W di Lambert		1 548
5	Spanish (es) Función W de Lambert		1 404
6	German (de) Lambertsche W-Funktion		1 401
7	Chinese (zh) 朗伯W函数		1 015
8	Russian (ru) W-функция Ламберта		955
9	Portuguese (pt) Função W de Lambert		494
10	Polish (pl) Funkcja W Lamberta		364

More...

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

Language versions of the article "Lambert W function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Lambert W function		261
2	German (de) Lambertsche W-Funktion		68
3	French (fr) Fonction W de Lambert		67
4	Japanese (ja) ランベルトのW関数		38
5	Russian (ru) W-функция Ламберта		34
6	Italian (it) Funzione W di Lambert		31
7	Spanish (es) Función W de Lambert		23
8	Polish (pl) Funkcja W Lamberta		21
9	Chinese (zh) 朗伯W函数		18
10	Turkish (tr) Lambert W fonksiyonu		13

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 "Lambert W function" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Lambert W function		3
2	Japanese (ja) ランベルトのW関数		2
3	Czech (cs) Lambertova funkce W		1
4	German (de) Lambertsche W-Funktion		1
5	Arabic (ar) دالة لامبرت W		0
6	Bulgarian (bg) W-функция на Ламберт		0
7	Catalan (ca) Funció W de Lambert		0
8	Spanish (es) Función W de Lambert		0
9	Persian (fa) تابع دبلیوی لامبرت		0
10	French (fr) Fonction W de Lambert		0

More...

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

Language versions of the article "Lambert W function" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Lambert W function		97
2	Swedish (sv) Lamberts W-funktion		44
3	French (fr) Fonction W de Lambert		36
4	Indonesian (id) Fungsi Lambert W		32
5	Japanese (ja) ランベルトのW関数		26
6	Chinese (zh) 朗伯W函数		26
7	Polish (pl) Funkcja W Lamberta		25
8	German (de) Lambertsche W-Funktion		24
9	Spanish (es) Función W de Lambert		21
10	Ukrainian (uk) W-функція Ламберта		16

More...

#	Language	Value
ar	Arabic دالة لامبرت W
bg	Bulgarian W-функция на Ламберт
ca	Catalan Funció W de Lambert
cs	Czech Lambertova funkce W
de	German Lambertsche W-Funktion
en	English Lambert W function
es	Spanish Función W de Lambert
fa	Persian تابع دبلیوی لامبرت
fr	French Fonction W de Lambert
he	Hebrew פונקציית W של למברט
hu	Hungarian Lambert-féle W-függvény
hy	Armenian Լամբերտի W ֆունկցիա
id	Indonesian Fungsi Lambert W
it	Italian Funzione W di Lambert
ja	Japanese ランベルトのW関数
ko	Korean 람베르트 W 함수
pl	Polish Funkcja W Lamberta
pt	Portuguese Função W de Lambert
ru	Russian W-функция Ламберта
sl	Slovenian Lambertova funkcija W
sv	Swedish Lamberts W-funktion
tr	Turkish Lambert W fonksiyonu
uk	Ukrainian W-функція Ламберта
zh	Chinese 朗伯W函数

Best Rank

English: #25121 11.2023

Global: #31910 12.2023

Best Rank

English: #1799 09.2002

Global: #3148 09.2002

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