Differential Subordination and Superordination Results for a Subclass of Analytic Univalent Functions Using A^mu_theta operator

Tariq Hamad Abduallah; Waggas Galib Atshan; Ahmed Shexo

Differential Subordination and Superordination Results for a Subclass of Analytic Univalent Functions Using A^mu_theta operator

Authors

Tariq Hamad Abduallah Department of Mathematics, College of Education for Pure Sciences, University of Mosul , Ninawaa- Iraq.
Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah,Diwaniyah- Iraq
Ahmed Shexo Department of Mathematics, College of Education for Pure Sciences, University of Mosul , Ninawaa- Iraq.

Keywords:

Analytic function, Differential subordination, Differential superordination, Sandwich theorem, A(mu,theta,n) operator

Abstract

This paper investigates a new subclass of analytic univalent functions defined in the open unit disk

Several sufficient conditions are established to determine differential subordination and superordination relationships for this subclass. In addition, corresponding sandwich-type results are derived based on these findings. The results obtained here extend and unify several previously known results for special operators and subclasses of analytic functions.

2020 Mathematics Subject Classification: 30C45

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Published

2025-12-27

How to Cite

Abduallah, T. H., Atshan, W. G., & Shexo, A. (2025). Differential Subordination and Superordination Results for a Subclass of Analytic Univalent Functions Using A^mu_theta operator. The International Journal of Innovative Insights in the Social and Pure Sciences, 2(3), 19–32. Retrieved from https://ijiisps.remahcenter.com/index.php/ijiisps/article/view/40