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On two Saigo’s fractional integral operators in the class of univalent functions. (English) Zbl 1138.30007

Sufficient conditions on the parameters of the Saigo’s fractional integral operators for preservation of univalence of the familiar classes of univalent and convex functions were obtained.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
26A33 Fractional derivatives and integrals
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