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Univalent Functions
Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao
- 265 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Univalent Functions
Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao
About This Book
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 ā the Elementary Theory
Definitions of Major Subclasses
Fundamental Lemmas
Starlike and Convex Functions
Starlike and Convex Functions of Order ?
Strongly Starlike and Convex Functions
Alpha-Convex Functions
Gamma-Starlike Functions
Close-to-Convex Functions
Bazilevi? Functions
B1(?) Bazilevi? Functions
The Class U(?)
Convolutions
Meromorphic Univalent Functions
Loewner Theory
Other Topics
Open Problems
Frequently asked questions
Information
1Univalent Functions ā the Elementary Theory
1.1Definitions and Basic Properties
![](https://book-extracts.perlego.com/662218/images/09_chapter01_fig_01-plgo-compressed.webp)
![](https://book-extracts.perlego.com/662218/images/09_chapter01_fig_02-plgo-compressed.webp)
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Contents
- List of Symbols
- 1 Univalent Functions ā the Elementary Theory
- 2 Definitions of Major Subclasses
- 3 Fundamental Lemmas
- 4 Starlike and Convex Functions
- 5 Starlike and Convex Functions of Order Ī±
- 6 Strongly Starlike and Convex Functions
- 7 Alpha-Convex Functions
- 8 Gamma-Starlike Functions
- 9 Close-to-Convex Functions
- 10 BazileviÄ Functions
- 11 ā¬1(Ī±) BazileviÄ Functions
- 12 The Class š°(Ī»)
- 13 Convolutions
- 14 Meromorphic Univalent Functions
- 15 Loewner Theory
- 16 Other Topics
- 17 Open Problems
- Concluding Remarks
- Bibliography
- Index