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Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions. (English) Zbl 1151.30016
Summary: Using the methods of differential subordination and superordination, sufficient conditions are determined on the Liu-Srivastava linear operator of meromorphic functions in the punctured unit disk to obtain respectively the best dominant and the best subordinant. New sandwich-type results are also obtained.

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