Univalent Functions - A Primer

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
Strongly Starlike and Convex Functions
Alpha-Convex Functions
Gamma-Starlike Functions
Close-to-Convex Functions
Bazilevic Functions
B1( ) Bazilevic Functions
The Class U( )
Convolutions
Meromorphic Univalent Functions
Loewner Theory
Other Topics
Open Problems

About the author

D. K. Thomas, Swansea Univ., UK; N. Tuneski, Ss. Cyril and Methodius Univ. in Skopje, Macedonia; A. Vasudevarao, IIT Khagapur, India

Report

"The book is a signi cant addition to the study of univalent functions, and will be particularly useful to those with an interest in subclasses."
Teodor Bulboaca in: Studia Universitatis Babes-Bolyai, Mathematica 64.1 (2019), 133-134

Product details

• Authors: Derek Thomas, Derek K Thomas, Derek K. Thomas, Nikol Tuneski, Nikola Tuneski, Allu Vasudevarao
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.04.2018
• EAN: 9783110560091
• ISBN: 978-3-11-056009-1
• No. of pages: 252
• Dimensions: 175 mm x 18 mm x 245 mm
• Weight: 591 g
• Series: De Gruyter Studies in Mathematics; De Gruyter Studies in Mathematics; ISSN; De Gruyter Studies in Mathematics, 69
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous