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On subclasses for generalized operators of complex order. (English) Zbl 1168.30304

From the authors’ abstract: We define generalized differential and integral operators on the class of analytic functions in the unit disk involving the \(k\)-th Hadamard product. These operators are generalizations of some well-known operators, for example, the Sălăgean operator and the Al-Oboudi operator. New classes containing these operators of complex order are investigated.

MSC:

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