03043nam 2200541 450 991082737850332120230814222057.03-11-056012-73-11-056096-810.1515/9783110560961(CKB)4100000003666426(MiAaPQ)EBC5156979(DE-B1597)487434(OCoLC)1032679559(DE-B1597)9783110560961(Au-PeEL)EBL5156979(CaPaEBR)ebr11565842(EXLCZ)99410000000366642620180612d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierUnivalent functions a primer /Derek K. ThomasFirst edition.Berlin ;Boston :De Gruyter,[2018]©20181 online resource (268 pages)De Gruyter Studies in Mathematics ;693-11-056009-7 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 -- IndexThe 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 Functions of complex variablesUnivalent functionsFunctions of complex variables.Univalent functions.515.9Thomas Derek K.1708137Tuneski Nikola, Vasudevarao Allu, MiAaPQMiAaPQMiAaPQBOOK9910827378503321Univalent functions4096914UNINA