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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Thomas, Derek K., author. aut http://id.loc.gov/vocabulary/relators/aut Univalent Functions : A Primer / Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XIII, 252 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 69 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Univalent functions. Funktionentheorie. Konvexe Funktion. Meromorphe Funktion. Schlichte Funktion. MATHEMATICS / Complex Analysis. bisacsh Tuneski, Nikola, author. aut http://id.loc.gov/vocabulary/relators/aut Vasudevarao, Allu, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110560121 print 9783110560091 https://doi.org/10.1515/9783110560961 https://www.degruyter.com/isbn/9783110560961 Cover https://www.degruyter.com/document/cover/isbn/9783110560961/original |
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Thomas, Derek K., Thomas, Derek K., Tuneski, Nikola, Vasudevarao, Allu, |
spellingShingle |
Thomas, Derek K., Thomas, Derek K., Tuneski, Nikola, Vasudevarao, Allu, Univalent Functions : A Primer / De Gruyter Studies in Mathematics , 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 |
author_facet |
Thomas, Derek K., Thomas, Derek K., Tuneski, Nikola, Vasudevarao, Allu, Tuneski, Nikola, Tuneski, Nikola, Vasudevarao, Allu, Vasudevarao, Allu, |
author_variant |
d k t dk dkt d k t dk dkt n t nt a v av |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Tuneski, Nikola, Tuneski, Nikola, Vasudevarao, Allu, Vasudevarao, Allu, |
author2_variant |
n t nt a v av |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Thomas, Derek K., |
title |
Univalent Functions : A Primer / |
title_sub |
A Primer / |
title_full |
Univalent Functions : A Primer / Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao. |
title_fullStr |
Univalent Functions : A Primer / Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao. |
title_full_unstemmed |
Univalent Functions : A Primer / Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao. |
title_auth |
Univalent Functions : A Primer / |
title_alt |
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 |
title_new |
Univalent Functions : |
title_sort |
univalent functions : a primer / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2018 |
physical |
1 online resource (XIII, 252 p.) Issued also in print. |
contents |
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 |
isbn |
9783110560961 9783110762488 9783110719550 9783110494938 9783110604252 9783110603255 9783110604191 9783110603194 9783110560121 9783110560091 |
issn |
0179-0986 ; |
url |
https://doi.org/10.1515/9783110560961 https://www.degruyter.com/isbn/9783110560961 https://www.degruyter.com/document/cover/isbn/9783110560961/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783110560961 |
oclc_num |
1032679559 |
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AT thomasderekk univalentfunctionsaprimer AT tuneskinikola univalentfunctionsaprimer AT vasudevaraoallu univalentfunctionsaprimer |
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ids_txt_mv |
(DE-B1597)487434 (OCoLC)1032679559 |
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