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Convolution and differential subordination for multivalent functions. (English) Zbl 1176.30065

Summary: General classes of multivalent starlike, convex, close-to-convex, and quasi-convex functions are introduced. These classes provide a unified treatment to various known subclasses. Inclusion and convolution properties are derived using the methods of convex hull and differential subordination.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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