LEADER 03043nam 2200541 450 001 9910827378503321 005 20230814222057.0 010 $a3-11-056012-7 010 $a3-11-056096-8 024 7 $a10.1515/9783110560961 035 $a(CKB)4100000003666426 035 $a(MiAaPQ)EBC5156979 035 $a(DE-B1597)487434 035 $a(OCoLC)1032679559 035 $a(DE-B1597)9783110560961 035 $a(Au-PeEL)EBL5156979 035 $a(CaPaEBR)ebr11565842 035 $a(EXLCZ)994100000003666426 100 $a20180612d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUnivalent functions $ea primer /$fDerek K. Thomas 205 $aFirst edition. 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (268 pages) 225 0 $aDe Gruyter Studies in Mathematics ;$v69 311 $a3-11-056009-7 327 $tFrontmatter -- $tPreface -- $tContents -- $tList of Symbols -- $t1. Univalent Functions - the Elementary Theory -- $t2. Definitions of Major Subclasses -- $t3. Fundamental Lemmas -- $t4. Starlike and Convex Functions -- $t5. Starlike and Convex Functions of Order ? -- $t6. Strongly Starlike and Convex Functions -- $t7. Alpha-Convex Functions -- $t8. Gamma-Starlike Functions -- $t9. Close-to-Convex Functions -- $t10. Bazilevi? Functions -- $t11. B1(?) Bazilevi? Functions -- $t12. The Class U(?) -- $t13. Convolutions -- $t14. Meromorphic Univalent Functions -- $t15. Loewner Theory -- $t16. Other Topics -- $t17. Open Problems -- $tConcluding Remarks -- $tBibliography -- $tIndex 330 $aThe 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 ? Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevi? Functions B1(?) Bazilevi? Functions The Class U(?) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems 606 $aFunctions of complex variables 606 $aUnivalent functions 615 0$aFunctions of complex variables. 615 0$aUnivalent functions. 676 $a515.9 700 $aThomas$b Derek K.$01708137 702 $aTuneski$b Nikola, 702 $aVasudevarao$b Allu, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827378503321 996 $aUnivalent functions$94096914 997 $aUNINA