Falling and rising factorials

en

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Falling and rising factorials

Quality:

Falling and rising factorial - mathematical functions. Article “Falling and rising factorials” in English Wikipedia has 34.2 points for quality (as of July 1, 2025). The article contains 18 references and 11 sections.

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

Since the creation of article “Falling and rising factorials”, its content was written by 105 registered users of English Wikipedia and edited by 220 registered Wikipedia users in all languages.

The article is cited 167 times in English Wikipedia and cited 430 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #11172 in May 2003
  • Global: #18514 in May 2003

The highest popularity rank from 2008:

  • Local (English): #169823 in November 2014
  • Global: #249612 in April 2024

There are 12 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)
Falling and rising factorials
34.1666
2Portuguese (pt)
Fatoriais crescentes e decrescentes
28.9456
3Russian (ru)
Убывающие и возрастающие факториалы
24.828
4Persian (fa)
فاکتوریل‌های صعودی و نزولی
24.1859
5Japanese (ja)
階乗冪
23.335
6Chinese (zh)
遞進階乘與遞降階乘
23.0889
7Spanish (es)
Factoriales descendente y ascendente
21.8076
8Italian (it)
Fattoriale crescente
17.3035
9Galician (gl)
Factorial descendente e ascendente
17.2979
10German (de)
Fallende und steigende Faktorielle
8.998
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 "Falling and rising factorials" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Falling and rising factorials
810 681
2German (de)
Fallende und steigende Faktorielle
72 148
3Japanese (ja)
階乗冪
47 814
4Russian (ru)
Убывающие и возрастающие факториалы
39 818
5Polish (pl)
Potęgi kroczące
36 549
6Chinese (zh)
遞進階乘與遞降階乘
33 605
7Italian (it)
Fattoriale crescente
30 475
8Spanish (es)
Factoriales descendente y ascendente
20 092
9Simple English (simple)
Falling and rising factorials
852
10Persian (fa)
فاکتوریل‌های صعودی و نزولی
735
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 "Falling and rising factorials" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Falling and rising factorials
4 456
2Russian (ru)
Убывающие и возрастающие факториалы
383
3Japanese (ja)
階乗冪
288
4Chinese (zh)
遞進階乘與遞降階乘
184
5German (de)
Fallende und steigende Faktorielle
179
6Polish (pl)
Potęgi kroczące
124
7Spanish (es)
Factoriales descendente y ascendente
88
8Italian (it)
Fattoriale crescente
81
9Simple English (simple)
Falling and rising factorials
41
10Portuguese (pt)
Fatoriais crescentes e decrescentes
29
More...

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

The highest AI

Language versions of the article "Falling and rising factorials" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Falling and rising factorials
105
2Italian (it)
Fattoriale crescente
26
3German (de)
Fallende und steigende Faktorielle
25
4Russian (ru)
Убывающие и возрастающие факториалы
19
5Chinese (zh)
遞進階乘與遞降階乘
14
6Japanese (ja)
階乗冪
11
7Polish (pl)
Potęgi kroczące
6
8Spanish (es)
Factoriales descendente y ascendente
5
9Simple English (simple)
Falling and rising factorials
4
10Galician (gl)
Factorial descendente e ascendente
2
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 "Falling and rising factorials" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Fallende und steigende Faktorielle
0
2English (en)
Falling and rising factorials
0
3Spanish (es)
Factoriales descendente y ascendente
0
4Persian (fa)
فاکتوریل‌های صعودی و نزولی
0
5Galician (gl)
Factorial descendente e ascendente
0
6Italian (it)
Fattoriale crescente
0
7Japanese (ja)
階乗冪
0
8Polish (pl)
Potęgi kroczące
0
9Portuguese (pt)
Fatoriais crescentes e decrescentes
0
10Russian (ru)
Убывающие и возрастающие факториалы
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 "Falling and rising factorials" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Falling and rising factorials
167
2Japanese (ja)
階乗冪
63
3Russian (ru)
Убывающие и возрастающие факториалы
51
4Italian (it)
Fattoriale crescente
40
5Chinese (zh)
遞進階乘與遞降階乘
30
6Galician (gl)
Factorial descendente e ascendente
25
7German (de)
Fallende und steigende Faktorielle
21
8Spanish (es)
Factoriales descendente y ascendente
18
9Polish (pl)
Potęgi kroczące
10
10Persian (fa)
فاکتوریل‌های صعودی و نزولی
4
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
deGerman
Fallende und steigende Faktorielle
enEnglish
Falling and rising factorials
esSpanish
Factoriales descendente y ascendente
faPersian
فاکتوریل‌های صعودی و نزولی
glGalician
Factorial descendente e ascendente
itItalian
Fattoriale crescente
jaJapanese
階乗冪
plPolish
Potęgi kroczące
ptPortuguese
Fatoriais crescentes e decrescentes
ruRussian
Убывающие и возрастающие факториалы
simpleSimple English
Falling and rising factorials
zhChinese
遞進階乘與遞降階乘

Popularity rank trends

Best Rank English:
#169823
11.2014
Global:
#249612
04.2024

AI rank trends

Best Rank English:
#11172
05.2003
Global:
#18514
05.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Falling and rising factorial from Wikipedia articles about Hypergeometric function, Binomial theorem, Factorial, Binomial coefficient and Q-Pochhammer symbol. Whereas reading the article about Falling and rising factorial people most often go to Wikipedia articles on Stirling number of the first kind, Leo August Pochhammer, Pochhammer k-symbol, Umbral calculus and Vandermondes identity.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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