Special Issue: Advanced Research in Complex Analysis Operators and Special Classes of Analytic Functions

2025-03-31

One of the most studied branches in the theory of functions of one complex variable, concerned with the study of the geometric properties of analytical functions in complex analysis, the geometric theory of analytic functions (also called geometric function theory (GFT)) has the Riemann mapping theorem at its core, formulated by B. Riemann in 1851 and approached later by others, such as C. Carathéodory, P. Koebe, and L. Bieberbach. The duality of this field, based on the tradeoff between an analytical approach and geometric intuition, constitutes an advantage when we want to study the geometrical behavior of various classes of functions. The current development of the geometric function theory involving both classic and modern topics also generates many connections with various fields of mathematics, including special functions, probability distributions, fractional, and q-calculus. Even if the geometric function theory is mostly viewed as a theoretical domain, significant practical applications were also obtained from the theoretical results in different fields, such as fluid mechanics, nuclear physics, mathematical physics, astrophysics, and, more recently, in control theory, signal and image processing, and others.

This Special Issue aims to be a collection of original and recent research in the current topics of the field of geometric function theory related, but not restricted, to univalent function theory; the study of star-like, convex, and other classes of analytic functions with geometric properties; the study of integral operators; differential subordination and superordination; and the newly flourishing research area based on q-calculus and fractional calculus. Research papers focusing on the geometric function theory used in real-life applications are also encouraged for this Special Issue.

Keywords

Analytic and harmonicfunctions
Univalent and bi-univalent functions
Differential, integral and fractional operators in geometric function theory
Quantum calculus and its applications in geometric function theory
Differential subordination and superordination
Special functions and their applications in geometric function theory

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Guest editor

Name: Dr. Sarem H. Hadi

Affiliation: Department of Mathematics, college of Education for pure sciences, university of Basrah, Basrah 61001, Iraq

Email: sarim.hadi@uobasrah.edu.iq

Biography: Dr. Sarem H. Hadi holds a Ph.D. in Mathematics (Complex Analysis) from the National University of Malaysia (UKM), Malaysia. His research interests focus on analytic and univalent functions and their applications. He is also interested in the study of harmonic functions, differential subordination, and the investigation of differential, integral, and fractional operators in the theory of geometric functions. Dr. Hadi was born in Iraq in 1990. He is currently a faculty member at University of Basrah, Iraq. He has published and has several accepted research papers in reputable international journals. In addition, he actively collaborates with researchers from various countries worldwide. Dr. Hadi also serves as a reviewer for numerous international scientific journals. His work can be found on platforms like google scholar, ORCID, and ResearchGate. Hadi is a member of various professional organizations, including Iraqi Mathematical Society.

Co-guest editor

Name: Dr. Fairouz Tchier

Affiliation: Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

Biography: Dr. Fairouz Tchier pursued her higher education in Canada, earning a Master's degree in Mathematics from the Université de Sherbrooke in 1990. she received her Ph.D. in Mathematics from the Université Laval. Tchier began her academic career as an assistant professor at King Saud University in Riyadh, Saudi Arabia. She has since become a full professor, teaching various mathematics courses, including Linear Algebra, Differential Equations, and Discrete Mathematics. Tchier's research focuses on: Graph Theory, Numerical Analysis and Discrete Mathematics. Tchier has published numerous research papers in reputable international journals and conferences. Her work can be found on platforms like IEEE Xplore, ORCID, and ResearchGate. Tchier is a member of various professional organizations, including: Saudi Mathematical Society, International Linear Algebra Society and American Mathematical Society.

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Deadline submission date: until July 10 2025

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