On New Sandwich Results of Univalent Functions Defined by a Linear Operator

Bassim Kareem Mihsin; Waggas Galib Atshan; Shatha S. Alhily

doi:10.24996/ijs.2022.63.12.32

Authors

Bassim Kareem Mihsin Department of Mathematics, College of Science Mustansiriyah University, Baghdad, Iraq.
Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq
Shatha S. Alhily Department of Mathematics, College of Science Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.12.32

Keywords:

Analytic function, univalent function, differential subordination, superordination, sandwich theorem, Srivastava-Attiya operator

Abstract

In this research paper, we explain the use of the convexity and the starlikness properties of a given function to generate special properties of differential subordination and superordination functions in the classes of analytic functions that have the form in the unit disk. We also show the significant of these properties to derive sandwich results when the Srivastava- Attiya operator is used.