Geometric function theory in one and higher dimensions /

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study.

Bibliographic Details
Main Author:	Graham, Ian (Ian R.), 1948-
Corporate Author:	Taylor & Francis
Other Authors:	Kohr, Gabriela
Format:	eBook
Language:	English
Published:	New York : Marcel Dekker, ©2003.
Series:	Monographs and textbooks in pure and applied mathematics ; 255.
Subjects:	Geometric function theory. Univalent functions. Functions of several complex variables. Théorie géométrique des fonctions. Fonctions univalentes. Fonctions de plusieurs variables complexes. MATHEMATICS > Complex Analysis. Functions of several complex variables Geometric function theory Univalent functions Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Preface; Contents; Introduction; Elementary properties of univalent functions; Subclasses of univalent functions in the unit disc; The Loewner theory; Bloch functions and the Bloch constant; Linear invariance in the unit disc; Univalence in several complex variables; Growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces; Loewner chains in several complex variables; Bloch constant problems in several complex variables; Linear invariance in several complex variables; Univalent mappings and the Roper-Suffridge extension operator; Bibliography.