Original scientific paper

Differential sandwich theorems for certain subclasses of analytic functions

C. Selvaraj ; Department of Mathematics, Presidency College, Tamilnadu, India
K. R. Karthikeyan ; R.M.K.Engineering College, R.S.M.Nagar,Thiruvallur District, Gummidipoondi Taluk, Tamilnadu, India

Abstract

In this paper, we generalize the well known differential operator by using a generalized hypergeometric function. By applying this operator, we introduce a new class of non-Bazilević functions and derive subordination and superordination results for the class in the unit disk. Relevant connections of the results presented in this paper are also pointed out with various other known results.

Keywords

analytic functions; differential operators; differential subordination; differential superordination

Hrčak ID:

30894

URI

https://hrcak.srce.hr/30894

Publication date:

23.12.2008.

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