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On sandwich theorems for certain subclasses of analytic functions involving Carlson-Shaffer operator. (English) Zbl 1143.30308
Summary: The purpose of the present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.
MSC:
30C80Maximum principle; Schwarz’s lemma, Lindelöf principle, etc. (one complex variable)
30C45Special classes of univalent and multivalent functions