Thomas, Derek K.,

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.

9783110560091 RM463.25


Univalent functions.