Convex and Starlike Mappings in Several Complex Variables
Convex and Starlike Mappings in Several Complex Variables

Author: Sheng Gong

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 220

ISBN-13: 9401152063

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This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. This is the first book which systematically studies this topic. It gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. The majority of the results presented are due to the author, his co-workers and his students. Audience: This volume will be of interest to research mathematicians whose work involves several complex variables and one complex variable.

Geometric Function Theory in Several Complex Variables
Geometric Function Theory in Several Complex Variables

Author: Carl H. FitzGerald

Publisher: World Scientific

Published: 2004

Total Pages: 360

ISBN-13: 9789812702500

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The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002
Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002

Author: Sheng Gong

Publisher: World Scientific

Published: 2004-09-23

Total Pages: 353

ISBN-13: 9814481912

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The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Several Complex Variables in China
Several Complex Variables in China

Author: Chung-Chun Yang

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 188

ISBN-13: 0821851640

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Today, there is increasing interest in complex geometry, geometric function theory, and integral representation theory of several complex variables. The present collection of survey and research articles comprises a current overview of research in several complex variables in China. Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some results are reported in English for the first time.

Geometric Function Theory in One and Higher Dimensions
Geometric Function Theory in One and Higher Dimensions

Author: Ian Graham

Publisher: CRC Press

Published: 2003-03-18

Total Pages: 572

ISBN-13: 9780203911624

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This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in

Differential Subordinations
Differential Subordinations

Author: Sanford S. Miller

Publisher: CRC Press

Published: 2000-01-03

Total Pages: 481

ISBN-13: 1482289814

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"Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordinations."

Complex Analysis and Dynamical Systems II
Complex Analysis and Dynamical Systems II

Author: Lawrence Allen Zalcman

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 456

ISBN-13: 0821837095

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This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.