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A family of integral operators preserving subordination and superordination. (English) Zbl 1182.30024
Summary: The main purpose of the present paper is to investigate some subordination preserving and superordination preserving properties of a certain family of integral operators. Several sandwich-type results associated with this family of integral operators are also derived.

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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