Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture

ISBN-13: 9780367445782 / Angielski / Miękka / 2019 / 343 str.

Prem K. Kythe

Opis

This book discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theor

Spis treści

Analytic Functions. Univalent Functions. Area Principle. Löwner Theory. Higher-Order Coefficients. Subclasses of Univalent Functions. Generalized Convexity. Coefficients Estimates. Polynomials. De Branges Theorem. Epilogue: After de Branges. Appendices.

O autorze

Prem K. Kythe is a Professor Emeritus of Mathematics at the University of New Orleans. He is the author/coauthor of 11 books and author of 46 research papers. His research interests encompass the fields of complex analysis, continuum mechanics, and wave theory, including boundary element methods, finite element methods, conformal mappings, PDEs and boundary value problems, linear integral equations, computation integration, fundamental solutions of differential operators, Green’s functions, and coding theory.