New Operators & Their Applications Geometric Function Theory eBook

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.

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.

Contents:

• Preliminaries on Differential Subordinations and Superordinations Theories
• Defining New Operators
• Recent Developments in the Classical Differential Subordinations and Superordinations Theory
• Recent Developments in the Strong Differential Subordinations and Superordinations Theory
• Recent Developments in the Fuzzy Differential Subordinations and Superordinations Theory

Readership: Researchers, postgraduate and undergraduate students, practitioners and seminars of Complex Analysis, Fuzzy Mathematics, Analysis and Differential Equations. Also to be in all Science and Engineering libraries.