# Rolf Nevanlinna

> Finnish mathematician (1895–1980) known for his research in complex analysis

**Wikidata**: [Q540981](https://www.wikidata.org/wiki/Q540981)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Rolf_Nevanlinna)  
**Source**: https://4ort.xyz/entity/rolf-nevanlinna

## Summary
Rolf Nevanlinna was a Finnish mathematician renowned for his foundational work in complex analysis. Born in 1895, he made significant contributions to the field, particularly through his research on value distribution theory, which remains a cornerstone of complex analysis. Nevanlinna's academic career spanned multiple institutions, solidifying his legacy as a pivotal figure in 20th-century mathematics.

## Biography
- **Born**: October 22, 1895
- **Nationality**: Finnish
- **Education**: Studied at the University of Helsinki and later at the University of Göttingen
- **Known for**: Pioneering research in complex analysis, especially value distribution theory
- **Employer(s)**: University of Helsinki, ETH Zurich, University of Turku
- **Field(s)**: Mathematics, specifically complex analysis

## Contributions
- **Value Distribution Theory**: Developed the Nevanlinna theory, which systematically analyzes the distribution of values of meromorphic functions, published in his 1925 work *Le théorème de Picard-Borel et la théorie des fonctions méromorphes*.
- **Nevanlinna's Five Fundamental Theorems**: Formulated in the 1920s, these theorems provide a comprehensive framework for understanding the behavior of meromorphic functions, revolutionizing complex analysis.
- **Academic Leadership**: Served as a professor at the University of Helsinki (1922–1947) and later at ETH Zurich, mentoring numerous mathematicians and shaping mathematical education in Finland and abroad.
- **Interdisciplinary Work**: Contributed to potential theory and applied mathematics, demonstrating the broader implications of complex analysis in physics and engineering.

## FAQs
**What is Rolf Nevanlinna best known for?**  
Nevanlinna is celebrated for his development of value distribution theory, a critical advancement in complex analysis that explains the behavior of meromorphic functions through his five fundamental theorems.

**Where did Nevanlinna pursue his academic career?**  
He held prominent positions at the University of Helsinki, ETH Zurich, and the University of Turku, fostering mathematical research and education across these institutions.

**What are Nevanlinna's notable publications?**  
His seminal work *Le théorème de Picard-Borel et la théorie des fonctions méromorphes* (1925) and the formulation of the five fundamental theorems in complex analysis are landmark contributions to the field.

**How did Nevanlinna influence mathematics education?**  
Through his professorships and mentorship, Nevanlinna played a pivotal role in shaping the mathematical curriculum and research direction at key European universities, particularly in Finland and Switzerland.

## Why They Matter
Rolf Nevanlinna's work in complex analysis fundamentally transformed the understanding of meromorphic functions, providing tools that remain essential in modern mathematics and its applications. His theories have influenced fields beyond pure mathematics, including physics and engineering, underscoring the universal applicability of his research. Without Nevanlinna's contributions, the development of complex analysis and its integration into broader scientific contexts would lack a critical theoretical foundation.

## Notable For
- **Value Distribution Theory**: Revolutionized the study of meromorphic functions with his five fundamental theorems.
- **Academic Leadership**: Held influential professorships at the University of Helsinki and ETH Zurich, shaping European mathematical research.
- **Awards and Recognition**: Received the Henrik Steffens Prize, Commander of the Order of the White Rose of Finland, and the Wihuri International Prize, among others.
- **Interdisciplinary Impact**: Extended complex analysis into potential theory and applied mathematics, bridging pure and applied sciences.

## Body

### Early Life and Education
Rolf Herman Nevanlinna was born on October 22, 1895, in Finland, which was then a Grand Duchy under Russian rule. He pursued his academic studies at the University of Helsinki, later continuing his education at the prestigious University of Göttingen, a hub for mathematical innovation in the early 20th century.

### Career and Academic Roles
Nevanlinna's academic career was marked by key appointments:
- **University of Helsinki (1922–1947)**: He served as a professor, significantly influencing the development of mathematics in Finland.
- **ETH Zurich**: His tenure at the Swiss Federal Institute of Technology further solidified his international reputation.
- **University of Turku**: Nevanlinna contributed to the academic growth of this institution, reflecting his commitment to fostering mathematical research across Finland.

### Research and Contributions
- **Value Distribution Theory (1925)**: Nevanlinna's magnum opus, *Le théorème de Picard-Borel et la théorie des fonctions méromorphes*, introduced a systematic approach to analyzing meromorphic functions, addressing gaps in earlier theories by Picard and Borel.
- **Five Fundamental Theorems**: These theorems, developed in the 1920s, provided a unified framework for understanding the value distribution of meromorphic functions, becoming a cornerstone of complex analysis.
- **Potential Theory and Applied Mathematics**: Nevanlinna's work extended into potential theory, demonstrating the practical applications of complex analysis in solving physical problems, thereby bridging theoretical mathematics with applied sciences.

### Awards and Recognition
Nevanlinna received numerous accolades for his contributions:
- **Henrik Steffens Prize**: Recognized for his outstanding mathematical research.
- **Commander of the Order of the White Rose of Finland**: Honored for his service to Finland.
- **Wihuri International Prize**: Acknowledged for his cultural and economic impact through scientific achievement.
- **IMU Abacus Medal**: Though not explicitly dated in the source, his foundational work likely influenced such recognitions in mathematical excellence.

### Legacy and Influence
Nevanlinna's theories remain integral to complex analysis, with applications in diverse fields such as physics and engineering. His academic leadership and mentorship cultivated generations of mathematicians, ensuring the perpetuation of his methodologies and the continued relevance of his research. The Nevanlinna theory stands as a testament to his enduring impact on mathematical science, underscoring the universal importance of his contributions to 20th-century mathematics.

## References

1. MacTutor History of Mathematics archive
2. BnF authorities
3. BiographySampo
4. The National Biography of Finland
5. Integrated Authority File
6. Mathematics Genealogy Project
7. Czech National Authority Database
8. Biografiskt lexikon för Finland
9. Dictionary of Scientific Biography
10. [Source](https://www.hautahaku.fi/map/02-02-018-09-00169/NEVANLINNA%20ROLF%20HERMAN)
11. Find a Grave
12. [Wihuri International Prize](https://wihuriprizes.fi/kansainvalinen-palkinto/rolf-nevanlinna/)
13. The orders of the White Rose of Finland and the Order of the Lion of Finland
14. Source
15. SNAC
16. GeneaStar
17. Croatian Encyclopedia
18. Rolf Nevanlinna. Biografiskt lexikon för Finland
19. Google Books
20. Freebase Data Dumps. 2013
21. Virtual International Authority File
22. IdRef
23. CONOR.SI
24. La France savante
25. LIBRIS. 2012
26. National Library of Israel Names and Subjects Authority File
27. Catalogo of the National Library of India