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Univalence conditions related to a general integral operator. (English) Zbl 1256.30006
Summary: We consider a general integral operator based on two types of analytic functions, namely, regular functions and, respectively, functions having a positive real part. Some univalence conditions for this integral operator are obtained.
MSC:
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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