New Operators and Their Applications in Geometric Function Theory

By Alina Alb Lupas

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 superordinationsStrong and fuzzy differential operatorsKey differential and integral operators, including q-analogues of well-known transformationsApplications 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.

• Format: Hardcover
• Language: English
• ISBN: 9819818788
• ISBN13: 9789819818785
• Release Date: June 2026
• Publisher: World Scientific Publishing
• Length: 380 Pages
• Dimensions: 9.0" x 0.8" x 6.0"