Univalent Functions : : A Primer / / Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao.
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 s...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
69 |
Online Access: | |
Physical Description: | 1 online resource (XIII, 252 p.) |
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Other title: | Frontmatter -- Preface -- Contents -- List of Symbols -- 1. Univalent Functions – the Elementary Theory -- 2. Definitions of Major Subclasses -- 3. Fundamental Lemmas -- 4. Starlike and Convex Functions -- 5. Starlike and Convex Functions of Order α -- 6. Strongly Starlike and Convex Functions -- 7. Alpha-Convex Functions -- 8. Gamma-Starlike Functions -- 9. Close-to-Convex Functions -- 10. Bazilevič Functions -- 11. B1(α) Bazilevič Functions -- 12. The Class U(λ) -- 13. Convolutions -- 14. Meromorphic Univalent Functions -- 15. Loewner Theory -- 16. Other Topics -- 17. Open Problems -- Concluding Remarks -- Bibliography -- Index |
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Summary: | 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 |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110560961 9783110762488 9783110719550 9783110494938 9783110604252 9783110603255 9783110604191 9783110603194 |
ISSN: | 0179-0986 ; |
DOI: | 10.1515/9783110560961 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao. |