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On a class of multivalent functions defined by a multiplier transformation. (English) Zbl 1224.30082

Authors’ abstract: “We investigate starlikeness and convexity of a class of multivalent functions defined by multiplier transformation. As a consequence, a number of sufficient conditions for starlikeness and convexity of analytic functions are obtained.”

MSC:

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