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On certain subclasses of multivalent functions associated with an extended fractional differintegral operator. (English) Zbl 1125.30010
In this paper an extended fractional differintegral operator Ω z λ,p (-<λ<p+1; p), for multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Consequences of the main results and their relevance to known results are pointed out.

MSC:
30C45Special classes of univalent and multivalent functions