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Univalent Functions - Selected Topics

Univalent Functions - Selected Topics PDF Author: G. Schober
Publisher: Springer
ISBN: 3540375872
Category : Mathematics
Languages : en
Pages : 208

Book Description

Univalent Functions - Selected Topics

Univalent Functions - Selected Topics PDF Author: G. Schober
Publisher: Springer
ISBN: 3540375872
Category : Mathematics
Languages : en
Pages : 208

Book Description

Special Topics in Univalent Functions

Special Topics in Univalent Functions PDF Author: Dov Aharonov
Publisher:
ISBN:
Category : Univalent functions
Languages : en
Pages : 320

Book Description

Univalent Functions

Univalent Functions PDF Author: Glenn Schober
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

Book Description

Univalent Functions

Univalent Functions PDF Author: Derek K. Thomas
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110560968
Category : Mathematics
Languages : en
Pages : 268

Book Description
The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems

Topics in Hardy Classes and Univalent Functions

Topics in Hardy Classes and Univalent Functions PDF Author: Marvin Rosenblum
Publisher: Springer Science & Business Media
ISBN: 9783764351113
Category : Mathematics
Languages : en
Pages : 272

Book Description
These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.

Univalent Functions

Univalent Functions PDF Author: P. L. Duren
Publisher: Springer Science & Business Media
ISBN: 9780387907956
Category : Mathematics
Languages : en
Pages : 414

Book Description

Topics in Hardy Classes and Univalent Functions

Topics in Hardy Classes and Univalent Functions PDF Author: Marvin Rosenblum
Publisher: Birkhäuser
ISBN: 3034885202
Category : Mathematics
Languages : en
Pages : 258

Book Description
These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.

Univalent functions

Univalent functions PDF Author: Glen Schober
Publisher:
ISBN:
Category :
Languages : de
Pages :

Book Description

Current Topics In Analytic Function Theory

Current Topics In Analytic Function Theory PDF Author: Shigeyoshi Owa
Publisher: World Scientific
ISBN: 9814505692
Category : Mathematics
Languages : en
Pages : 475

Book Description
This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.

Univalent Functions

Univalent Functions PDF Author: Derek K. Thomas
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110560127
Category : Mathematics
Languages : en
Pages : 347

Book Description
The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems
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