Convex and starlike univalent functions

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Generating Starlike and Convex Univalent Functions

Alexander [1] was the first to introduce certain subclasses of univalent functions examining the geometric properties of the image f(D) of D under f . The convex functions are those that map D onto a convex set. A function w = f(z) is said to be starlike if, together with any of its points w, the image f(D) contains the entire segment {tw : 0 ≤ t ≤ 1}. Thus we introduce the denotations S = {f ∈...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1969

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1969-0232920-2