Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations

Abstract

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.

Keywords:

• Analytic functions
• Multiplier transformations
• Differential subordinations
• Superordinations
• Dominants
• Subordinants
• Schwarz function
• Univalent functions
• Starlike functions

Acknowledgements

The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353.