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Univalent Functions : A Primer

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Title: Univalent Functions : A Primer
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
Authors: Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao
Resource Type: eBook.
Subjects: Univalent functions
Categories: MATHEMATICS / Complex Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1791418
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Data: 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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        Scheme: ddc
        Type: prePub
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      – Code: eng
        Text: English
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      – SubjectFull: Univalent functions
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      – TitleFull: Univalent Functions : A Primer
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            NameFull: Derek K. Thomas
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            NameFull: Nikola Tuneski
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            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 28
              M: 09
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              Y: 2018
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            – TitleFull: Univalent Functions : A Primer
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