Abstract

In the present paper, we use the technique of differential subordination and superordination involving meromorphic functions with respect to symmetric points and also derive some sandwich results. As a consequence of main result, we obtain results for meromorphic starlike functions with respect to symmetrical points.

Highlights

  • Let Σ denote the class of functions of the form f (z) ak zk−1, z k=1 which are analytic in the punctured unit disc E0 = E \ {0}, where E = {z ∈ C : |z| < 1}

  • The class of such functions is denoted by MS∗(α) and write MS∗ = MS∗(0)-the class of meromorphic starlike functions

  • An analytic function q is called a subordinant of differential superordination (2) if q ≺ p for all p satisfying (2)

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Summary

Introduction

Ghaffar et al, [4] introduced and investigated a class of meromorphic starlike functions with respect to symmetric points which satisfies the condition The univalent function q is called a dominant of differential subordination (1) if p ≺ q for all p satisfying (1).

Results
Conclusion
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