Univalent Functions

A Primer

Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao

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English

De Gruyter
09 April 2018

Complex analysis, complex variables

Series: De Gruyter Studies in Mathematics

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

By: Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao
Imprint: De Gruyter
Country of Publication: Germany
Volume: 69
Dimensions: Height: 240mm, Width: 170mm, Spine: 20mm
Weight: 594g
ISBN: 9783110560091
ISBN 10: 3110560097
Series: De Gruyter Studies in Mathematics
Pages: 265
Publication Date: 09 April 2018
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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

Reviews for Univalent Functions: A Primer

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