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Inclusion properties for certain classes of analytic functions involving a family of fractional integral operators. (English) Zbl 1145.30310

Summary: A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk \(\mathbb U\). For each of these new function classes, several inclusion relationships are established.

MSC:

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