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On subordination and superordination of the multiplier transformation for meromorphic functions. (English) Zbl 1189.30009
Summary: Using the methods of differential subordination and superordination, sufficient conditions are determined on the multiplier transformation for meromorphic functions in the punctured unit disk to obtain respectively the best dominant and the best subordinant. New differential sandwich-type results are also obtained for this multiplier transformation.

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