ENGLISH

Univalent Functions: A Primer

By Derek K. Thomas; Nikola Tuneski; Allu Vasudevarao

Book information

Publisher
de Gruyter
Year
2018
ISBN
9783110560961, 9783110560091
Language
english
Format
EPUB
Filesize
18 MB (18950345 bytes)
Series
De Gruyter Studies in Mathematics; 69
Pages
265\0
Time added
2023-06-01 00:41:50

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 An up-to-date resource on univalent functions Covers introductory as well as research level material Useful for graduate students and experienced researchers alike

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