The univalence of an integral

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On the univalence of an integral operator

Let U = {z ∈ C : |z| < 1} be the unit disk in the complex plane, and let A be the class of functions which are analytic in the unit disk normalized with f (0) = f ′ (0)− 1 = 0. We denote by P the class of the functions p which are analytic in U , p (0) = 1 and Re p (z) > 0, for all z ∈ U . Let S be the subclass of A, consisting of all univalent functions f in U , and we consider S∗ the subclass...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1971

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1971-0280700-9