Analytic and geometric function theory
Analytic and geometric function theory is a research topic within Geometry and Topology. Science Explorer counts 13k research works in it since 1950. 11.8% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the study of geometric function theory and complex analysis, particularly on topics such as analytic and univalent functions, conformal and quasiconformal mappings, coefficient estimates, subordination, and harmonic mappings. It also explores the applications of hypergeometric functions in this context.
- Geometric Function Theory
- Complex Analysis
- Analytic Functions
- Univalent Functions
- Conformal Mapping
- Coefficient Estimates
- Subordination
- Harmonic Mappings
- Quasiconformal Mappings
- Hypergeometric Functions
- Research works
- 13k fractional, since 1950
- In the world top 10%
- 1.5k per year above
- Top-10% rate
- 11.8% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +22% the tick is no change
Which countries lead Analytic and geometric function theory research?
By volume, India and China publish the most (243 and 211 works in 2022–2025).
By volume, 2022–2025
- 1 India 243 works
- 2 China 211 works
- 3 United States 143 works
- 4 Iraq 117 works
- 5 Russia 114 works
- 6 Saudi Arabia 96 works
- 7 Romania 96 works
- 8 Türkiye 95 works
- 9 Ukraine 79 works
- 10 Pakistan 61 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.
Shares of the rows listed above, not of the whole node.
Which institutions lead Analytic and geometric function theory research?
By volume in 2022–2025, University of Al-Qadisiyah publishes the most Analytic and geometric function theory research, followed by University of Oradea and Vellore Institute of Technology University.
By volume, 2022–2025
- 1 University of Al-QadisiyahIraq 47 works
- 2 University of OradeaRomania 36 works
- 3 Vellore Institute of Technology UniversityIndia 24 works
- 4 Zhytomyr Ivan Franko State UniversityUkraine 20 works
- 5 Babeș-Bolyai UniversityRomania 19 works
- 6 Technical University of Cluj-NapocaRomania 17 works
- 7 COMSATS University IslamabadPakistan 16 works
- 8 University of AnbarIraq 15 works
- 9 Delhi Technological UniversityIndia 14 works
- 10 University of BaghdadIraq 13 works
Who are the leading researchers in Analytic and geometric function theory?
The most-cited researchers publishing on Analytic and geometric function theory include Stephan Ramon Garcia and Shing–Tung Yau.
- 1 Stephan Ramon Garcia United States 4k citations
- 2 Shing–Tung Yau United States 2.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Analytic and geometric function theory research done?
The largest centres of Analytic and geometric function theory research in 2022–2025 are Ad Dīwānīyah (Iraq), Moscow (Russia), Cluj-Napoca (Romania) and Oradea (Romania). Among places with at least 20 works in it, it is an unusually large share of all research in Oradea, Ad Dīwānīyah and Zhytomyr.
Largest cities, 2022–2025
- 1 Ad Dīwānīyah Iraq 47 works
- 2 Moscow Russia 42 works
- 3 Cluj-Napoca Romania 37 works
- 4 Oradea Romania 36 works
- 5 Riyadh Saudi Arabia 35 works
- 6 New Delhi India 25 works
- 7 Vellore India 24 works
- 8 Beijing China 24 works
- 9 Baghdad Iraq 23 works
- 10 Chennai India 22 works
Where it is the local speciality
- OradeaRO · 36.5 works196×
- Ad DīwānīyahIQ · 47.2 works157×
- ZhytomyrUA · 20.2 works120×
Location quotient: how much more of its research is in Analytic and geometric function theory than the world average.
Where is the best place to study Analytic and geometric function theory?
Among universities, judged by research, University of Oradea, University of Al-Qadisiyah and Dicle University 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.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | University of OradeaRomania | 75.9 | 41.2% | 217.5× | 36 | -31.2% |
| 2 | University of Al-QadisiyahIraq | 70.1 | 14.1% | 157.1× | 47 | +498.7% |
| 3 | Dicle UniversityTürkiye | 65.9 | 32.6% | 31.1× | 10 | +202.6% |
| 4 | Technical University of Cluj-NapocaRomania | 64.2 | 39.1% | 63.0× | 17 | -45.5% |
| 5 | Al-Balqa Applied UniversityJordan | 60.5 | 24.3% | 47.2× | 10 | +144.4% |
| 6 | COMSATS University IslamabadPakistan | 60.3 | 20.6% | 35.0× | 16 | +17.2% |
| 7 | Kafkas UniversityTürkiye | 59.6 | 25.0% | 52.7× | 10 | +549.3% |
| 8 | University of IlorinNigeria | 58.3 | 21.8% | 27.8× | 8 | +383.7% |
| 9 | Vellore Institute of Technology UniversityIndia | 57.3 | 25.0% | 12.3× | 24 | -24.2% |
| 10 | Babeș-Bolyai UniversityRomania | 56.4 | 21.6% | 40.8× | 19 | +25.4% |
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 Analytic and geometric function theory research growing?
Output in 2018–2022 was 22% higher than in 2013–2017, peaking in 2023. The fastest-growing topics are Analytic and geometric function theory.
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.