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An integral operator associated with differential superordinations. (English) Zbl 1199.30049

Summary: We give certain superordination results using a certain integral operator. These results are related to some normalized holomorphic functions in the unit disc \(U=\{z\in\mathbb C\;:\;| z| <1\}\).

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
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