| Description |
1 online resource (265 pages). |
|
text file PDF |
| Series |
De Gruyter Studies in Mathematics ; volume 69
|
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De Gruyter studies in mathematics ; 69.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Contents |
Univalent functions -- the elementary theory -- Definitions of major subclasses -- Fundamental lemmas -- Starlike and convex functions -- Starlike and convex functions of order [alpha] -- Strongly starlike and convex functions -- Alpha-convex functions -- Gamma-starlike functions -- Close-to-convex functions -- Bazilevic̆ functions -- B1([alpha]) Bazilevic̆ functions -- Class U([lambda]) -- Convolutions -- Meromorphic univalent functions -- Loewner theory -- Other topics -- Open problems -- Concluding remarks. |
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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. |
| Language |
In English. |
| Subject |
Univalent functions.
|
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Univalent functions. |
| Genre/Form |
Electronic books.
|
| Added Author |
Tuneski, Nikola, author.
|
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Vasudevarao, Allu, author.
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| Other Form: |
EPUB 9783110560121 |
|
print 9783110560091 |
| ISBN |
9783110560961 (electronic book) |
|
3110560968 (electronic book) |
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9783110560992 |
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3110560992 |
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3110560097 |
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9783110560091 |
| Standard No. |
10.1515/9783110560961 |
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