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Topic · Applied Mathematics

Meromorphic and Entire Functions

Meromorphic and Entire Functions is a research topic within Applied Mathematics. Science Explorer counts 9.7k research works in it since 1950. 7.4% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on complex differential equations, meromorphic functions, and their properties such as value distribution, uniqueness theorems, and normal families. It also explores topics related to difference equations, Nevanlinna theory, and the growth estimates of solutions.

  • Meromorphic Functions
  • Difference Equations
  • Value Distribution Theory
  • Uniqueness Theorems
  • Nevanlinna Theory
  • Normal Families
  • Linear Differential Equations
  • Weighted Sharing
  • Entire Solutions
  • Growth Estimates
Research works
9.7k
fractional, since 1950
In the world top 10%
711
per year above
Top-10% rate
7.4%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-5%
the tick is no change

Which countries lead Meromorphic and Entire Functions research?

By volume, China and India publish the most (195 and 184 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 195 works
  2. 2 India 184 works
  3. 3 United States 91 works
  4. 4 Russia 64 works
  5. 5 France 42 works
  6. 6 Japan 42 works
  7. 7 Ukraine 41 works
  8. 8 Vietnam 28 works
  9. 9 United Kingdom 21 works
  10. 10 Spain 21 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 26.8%India: 25.2%United States: 12.4%Russia: 8.8%6 others listed: 26.7%27%largest
China195 · 26.8%India184 · 25.2%United States91 · 12.4%Russia64 · 8.8%6 others listed195 · 26.7%

Shares of the rows listed above, not of the whole node.

Which institutions lead Meromorphic and Entire Functions research?

By volume in 2022–2025, University of Kalyani publishes the most Meromorphic and Entire Functions research, followed by Lviv University and Université de Mostaganem.

By volume, 2022–2025

  1. 1 University of KalyaniIndia 22 works
  2. 2 Lviv UniversityUkraine 14 works
  3. 3 Université de MostaganemAlgeria 14 works
  4. 4 Bangalore UniversityIndia 11 works
  5. 5 Raiganj UniversityIndia 11 works
  6. 6 Nanchang UniversityChina 10 works
  7. 7 Fujian Normal UniversityChina 9 works
  8. 8 Vidyasagar UniversityIndia 8 works
  9. 9 Hangzhou Dianzi UniversityChina 7 works
  10. 10 Lomonosov Moscow State UniversityRussia 7 works

Who are the leading researchers in Meromorphic and Entire Functions?

The most-cited researchers publishing on Meromorphic and Entire Functions include H. M. Srivastava.

  1. 1 H. M. Srivastava Canada 1.4k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Meromorphic and Entire Functions research done?

The largest centres of Meromorphic and Entire Functions research in 2022–2025 are Moscow (Russia), Beijing (China), Kalyani (India) and Kolkata (India). Among places with at least 20 works in it, it is an unusually large share of all research in Kalyani, Lviv and Hanoi.

Largest cities, 2022–2025

  1. 1 Moscow Russia 29 works
  2. 2 Beijing China 27 works
  3. 3 Kalyani India 22 works
  4. 4 Kolkata India 21 works
  5. 5 Lviv Ukraine 21 works
  6. 6 Hanoi Vietnam 20 works
  7. 7 Bengaluru India 16 works
  8. 8 Nanchang China 16 works
  9. 9 Mostaganem Algeria 14 works
  10. 10 Tokyo Japan 14 works

Where it is the local speciality

  1. KalyaniIN · 21.7 works182×
  2. LvivUA · 21.0 works30×
  3. HanoiVN · 20.4 works12×
  4. KolkataIN · 21.2 works10×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Meromorphic and Entire Functions than the world average.

See Meromorphic and Entire Functions on the map

Where is the best place to study Meromorphic and Entire Functions?

Among universities, judged by research, Lviv University, Nanchang University and University of Kalyani score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%2.5%5%7.5%mean 1.8125%fractional works in this node (log) →share in the world top 10% →Lviv University: 14, 7.1%Nanchang University: 10, 6.4%University of Kalyani: 22, 0.0%Université de Mostaganem: 14, 0.0%Bangalore University: 11, 0.0%Raiganj University: 11, 1.0%Fujian Normal University: 8, 0.0%Vidyasagar University: 8, 0.0%Lviv UniversityNanchang UniversityUniversity of KalyaniUniversité de Mostag…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Lviv UniversityUkraine 51.07.1%108.4×14 +76.7%
2 Nanchang UniversityChina 35.16.4%21.3×10 +1.3%
3 University of KalyaniIndia 33.10.0%199.7×22 +151.3%
4 Université de MostaganemAlgeria 24.70.0%385.4×14 +25.6%
5 Bangalore UniversityIndia 20.90.0%133.5×11 +344.0%
6 Raiganj UniversityIndia 16.01.0%359.2×11 —
7 Fujian Normal UniversityChina 6.50.0%38.3×8 -54.4%
8 Vidyasagar UniversityIndia 6.50.0%104.0×8 —

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Meromorphic and Entire Functions research growing?

Output in 2018–2022 was 5% lower than in 2013–2017, peaking in 2011.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.