Complex Analysis and Operator Theory

Submission Deadline: 30 June 2025 View: 16 Submit to Special Issue

Guest Editors

Prof. Luminita-Ioana Cotîrlă

Email: luminita.cotirla@math.utcluj.ro

Affiliation: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Homepage:

Research Interests: Complex analysis, Geometric function theory, Special functions

Prof. Valer Daniel Breaz

Email: dbreaz@uab.ro

Affiliation: Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RC-510009 Alba Iulia, Romania

Homepage:

Research Interests: Complex analysis, Geometric function theory, Integral operators

Summary

This Special Issue, devoted to the topic of the "Complex Analysis and Operator Theory", aims to bring together leading experts as well as young researchers working on topics mainly related to Univalent and Geometric Function Theory and to present their recent work to the mathematical community.

Geometric function theory (GFT) is one of the most important branches of complex analysis, that seeks to relate analytic properties of conformal maps to geometric properties of their images and has many applications in various fields of mathematics, including special functions, dynamical systems, analytic number theory, fractional calculus, probability distributions.

The purpose of this special issue is to solicit original research and review articles focusing on the latest developments in this research area and the applications of Geometric Function Theory to other research areas, which not only provide new methods or results but may also have a great impact on the concept of symmetry.

Our goal is to stimulate continuing efforts toward developing new results on these topics.

Topics that are invited for submission include (but are not limited to):

The Operators theory-differential and integral operators

Univalent and multivalent functions

Analysis of metric spaces

Spaces of analytic and meromorphic functions

Value distribution theory

Differential subordinations and superordination

Applications of special functions in geometric functions theory

Quasiconformal mappings

Entire and meromorphic functions

Fuzzy differential subordinations and superordination

Riemann surfaces

Generalized function theory

Bi-complex variable theory

Applications quantum calculus in geometric functions theory

Approximation theory

Universal functions

Harmonic univalent functions

Geometric Function Theory in Several Complex Variables

Keywords