Description

Book Synopsis

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

Univalent Functions: A Primer

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    A Hardback by Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao

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      Book details

      Publisher De Gruyter
      Published 9 April 2018
      ISBN-13 9783110560091
      978-3110560091
      Also in:
      Complex analysis, complex variables

      Description

      Book Synopsis

      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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