Univalent functions : a primer /
spine title : a primer.
Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao.
- xiii, 252 pages ; 25 cm.
- De Gruyter studies in mathematics ; volume 69. .
- De Gruyter studies in mathematics ; volume 69. .
Includes bibliographical references : pages 239-249 and index.
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 -- Bazilevic ̆functions -- B1([alpha]) Bazilevic ̆functions -- The class U([lambda]) -- Convolutions -- Meromorphic univalent functions -- Loewner theory -- Other topics -- Open problems -- Concluding remarks.