Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations. (English) Zbl 1104.30015
Summary: The purpose of this article is to derive some subordination and superordination results for certain families of normalized analytic functions in the open unit disk, which are acted upon by a class of multiplier transformations. Relevant connections of the results, which are presented in this article, with various known results are also considered.
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.) |
Keywords:
analytic functions; multiplier transformations; differential subordinations; superordinations; dominants; subordinants; Schwarz function; univalent functions; starlike functionsReferences:
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