Developments in Geometric Function Theory
1Vellore Institute of Technology, Vellore, India
2Babeş-Bolyai University, Cluj-Napoca, Romania
3Anna University, Tindivanam, India
Developments in Geometric Function Theory
Description
Geometric Function Theory (GFT) is a branch of complex analysis which deals with the geometric assets of analytic functions. It was established around the 20th century and has remained one of the active fields of current research.
In spite of the famous coefficient problem, “Bieberbach conjecture” that was solved by Louis de Branges in 1984, GFT suggests various approaches and directions. Geometric Function Theory is the theory of univalent functions, and as new related topics have appeared, the theory has developed with many interesting outcomes and applications. Therefore, it is essential for us to find new observational and theoretical results to find more potential applications of GFT.
The aim of this Special Issue is to collate original research as well as review articles from specialists in the fields of complex analysis, and geometric features of complex analysis. We also aim to acquire submissions from researchers in the broader mathematical community. The issue will cover all aspects of this topic, such as the special classes of univalent functions, and operator-related results. Studies focussing on the use of the theory of differential subordination and superordination, applied techniques in the field of complex analysis, and on the latest developments and applications of integral transforms and operational calculus are also welcome.
Potential topics include but are not limited to the following:
- Analytic functions
- Univalent functions
- Harmonic functions
- Meromorphic functions
- Differential subordinations
- Applications of special functions in GFT
- Applications of quantum calculus in GFT
- Probability distribution series in GFT
- Operators on function spaces
- Nevanlinna theory
- Quasiconformal mappings