Document Type : Research Paper

Authors

• Waggas Galib Atshan ¹
• Suad Hassan Mahdy ²

¹ Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah, Iraq

² Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq

Abstract

In the present paper, we obtain some subordination and superordination results, involving the operator $T^{a}$ for functions of the form $f(z)=z^{-1}+\sum_{k=1}^{\infty}a_k z^{k}$, which are meromorphic univalent in the punctured open unit disk these results are applied to obtain sandwich results.

Keywords

• Analytic function
• Univalent subordination
• Superordination Hadamard (convolution)
• Sandwich theorems