Generating function

en

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Generating function

Quality:

Generating function - formal power series with coefficients that encode information about a sequence. Article “Generating function” in English Wikipedia has 45.5 points for quality (as of July 1, 2026). The article contains 31 references and 37 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.39 points.

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

In June 2026 the article “Generating function” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Generating function”, its content was written by 189 registered users of English Wikipedia and edited by 602 registered Wikipedia users in all languages.

The article is cited 442 times in English Wikipedia and cited 1686 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #7052 in January 2004
  • Global: #13363 in February 2012

The highest popularity rank from 2008:

  • Local (English): #63459 in May 2022
  • Global: #81756 in May 2022

There are 26 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, 2026 (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)
Generating function
45.495
2Turkish (tr)
Üreteç fonksiyonu
31.7053
3French (fr)
Série génératrice
29.9923
4Galician (gl)
Función xeradora
28.7135
5Catalan (ca)
Funció generatriu
28.2608
6Chinese (zh)
母函数
28.1621
7Slovak (sk)
Vytvárajúca funkcia
28.0507
8Spanish (es)
Función generatriz
24.3027
9Persian (fa)
تابع مولد
23.9526
10Arabic (ar)
دالة مولدة
21.2493
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 "Generating function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Generating function
2 020 434
2Russian (ru)
Производящая функция последовательности
242 418
3German (de)
Erzeugende Funktion
207 455
4Polish (pl)
Funkcja tworząca
164 546
5Japanese (ja)
母関数
158 915
6Spanish (es)
Función generatriz
143 868
7French (fr)
Série génératrice
142 662
8Chinese (zh)
母函数
131 937
9Italian (it)
Funzione generatrice
65 630
10Hebrew (he)
פונקציה יוצרת
61 386
More...

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

Most popular in June 2026

The most popular language versions of the article "Generating function" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Generating function
5 152
2Japanese (ja)
母関数
472
3Russian (ru)
Производящая функция последовательности
398
4Chinese (zh)
母函数
375
5French (fr)
Série génératrice
314
6Polish (pl)
Funkcja tworząca
314
7German (de)
Erzeugende Funktion
310
8Spanish (es)
Función generatriz
209
9Hebrew (he)
פונקציה יוצרת
118
10Italian (it)
Funzione generatrice
110
More...

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

The highest AI

Language versions of the article "Generating function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Generating function
189
2German (de)
Erzeugende Funktion
58
3Russian (ru)
Производящая функция последовательности
44
4Italian (it)
Funzione generatrice
43
5Polish (pl)
Funkcja tworząca
30
6French (fr)
Série génératrice
27
7Hebrew (he)
פונקציה יוצרת
24
8Spanish (es)
Función generatriz
23
9Chinese (zh)
母函数
18
10Japanese (ja)
母関数
17
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 2026

Language versions of the article "Generating function" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Arabic (ar)
دالة مولدة
1
2English (en)
Generating function
1
3Indonesian (id)
Fungsi pembangkit
1
4Catalan (ca)
Funció generatriu
0
5Czech (cs)
Vytvořující funkce (posloupnost)
0
6German (de)
Erzeugende Funktion
0
7Spanish (es)
Función generatriz
0
8Persian (fa)
تابع مولد
0
9French (fr)
Série génératrice
0
10Galician (gl)
Función xeradora
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 "Generating function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Generating function
442
2French (fr)
Série génératrice
160
3Italian (it)
Funzione generatrice
125
4Japanese (ja)
母関数
91
5Spanish (es)
Función generatriz
89
6Polish (pl)
Funkcja tworząca
77
7German (de)
Erzeugende Funktion
76
8Chinese (zh)
母函数
75
9Russian (ru)
Производящая функция последовательности
74
10Korean (ko)
생성함수 (수학)
72
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
دالة مولدة
caCatalan
Funció generatriu
csCzech
Vytvořující funkce (posloupnost)
deGerman
Erzeugende Funktion
enEnglish
Generating function
esSpanish
Función generatriz
faPersian
تابع مولد
frFrench
Série génératrice
glGalician
Función xeradora
heHebrew
פונקציה יוצרת
idIndonesian
Fungsi pembangkit
itItalian
Funzione generatrice
jaJapanese
母関数
koKorean
생성함수 (수학)
nlDutch
Voortbrengende functie
plPolish
Funkcja tworząca
ptPortuguese
Função geradora
roRomanian
Funcție generatoare exponențială
ruRussian
Производящая функция последовательности
skSlovak
Vytvárajúca funkcia
svSwedish
Genererande funktion
thThai
ฟังก์ชันก่อกำเนิด
trTurkish
Üreteç fonksiyonu
ukUkrainian
Генератриса
urUrdu
تولیدی دالہ
zhChinese
母函数

Popularity rank trends

Best Rank English:
#63459
05.2022
Global:
#81756
05.2022

AI rank trends

Best Rank English:
#7052
01.2004
Global:
#13363
02.2012

Local AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Generating function from Wikipedia articles about Laplace transform, Generating function, Fibonacci sequence, Partition function and Integer partition. Whereas reading the article about Generating function people most often go to Wikipedia articles on Formal power series, Probability-generating function, Moment-generating function, Generating function and Generating function transformation.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information