New Operators and Their Applications in Geometric Function Theory (Concrete and Applicable Mathematics) - Hardcover

Lupaș, Alina Alb

Hardcover

ISBN 10: 9819818788 ISBN 13: 9789819818785

Publisher: World Scientific Publishing, 2026

Synopsis

This book explores advanced topics in Geometric Function Theory and Complex Analysis, with a focus on analytic functions, differential operators, and their geometric properties. It draws from the rich tradition of the Romanian Mathematical School and highlights foundational results, contemporary research, and novel methods involving fractional calculus, q-calculus, and fuzzy analysis.

Readers will find comprehensive coverage of:

- Classical and modern differential subordinations and superordinations - Strong and fuzzy differential operators - Key differential and integral operators, including q-analogues of well-known transformations - Applications of operators in defining new subclasses of analytic functions and analyzing their geometric features: starlikeness, convexity, distortion bounds, and more

The book builds on pioneering work by S S Miller, P T Mocanu, H M Srivastava, and others, offering new theoretical insights and practical tools for researchers in complex analysis and applied mathematics.

Designed for graduate students, mathematics researchers, and theoretical physicists, this volume serves as both a reference and a research springboard for further study in geometric function theory, fractional and quantum calculus, and operator theory.

About this title

About the Author

Alina Alb Lupaș was born in Oradea, Romania in 1977. She received her BSc degree in mathematics-informatics from University of Oradea, Romania in 1999 and her MA in analysis and topologico-algebraic systems from the Faculty of Sciences, University of Oradea, Romania in 2000. She was awarded her PhD in Mathematics from Institute of Mathematics and Informatics of Academy of Science of Moldova, State University from Tiraspol, Faculty of Mathematics, with the thesis "Categorial aspects of topological groups and rings theory". Since 1999, she is a faculty member at Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, Romania. Since 2016, she has been an Associate Professor of Mathematics. She changed her research domain in 2008 when she started to work in Complex Analysis, conducting studies related to the Geometric Function Theory. The Romanian Mathematical School has an important contribution in the development of this theory and University of Oradea is an important center of research in this field. She has published over 230 research articles in international mathematical journals and 22 monographs, proceedings and textbooks in well-known publishing houses. She is associate editor in many international mathematical journals and has been guest editor and assistant editor in 3 journals.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2026
• Language: English
• ISBN 10: 9819818788
• ISBN 13: 9789819818785
• Binding: Hardcover
• Number of pages: 380