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General integral operator defined by Hadamard product. (English) Zbl 1265.30053

Summary: We introduce a new general integral operator defined by the Hadamard product. Some properties involving this operator on a class of functions of complex order are determined. Furthermore, we obtain new sufficient conditions for this operator to be univalent in the open unit disc. Finally, we prove several subordination results involving starlike and convex functions of complex order. Several corollaries of the main results are also considered.

MSC:

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