3rd-Order Differential Subordination and Superordination Results for Univalent Analytic Functions Associated with Zeta-Riemann Fractional Differential Operator

Authors

  • Ahmed Shexo Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
  • Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq
  • Abdulghfoor Jasim Salim Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.31649

Keywords:

Differential subordination, Analytic function, Fractional operators, Sandwich theorem, Third-Order

Abstract

Using the results of 3rd order differential subordination, we introduce certain families of admissible functions and discuss some applications of 3rd order differential subordination for normalized analytic functions associated with novel fractional operator namely Zeta-Riemann Fractional differential operator. Some new results on differential subordination and superordination with some sandwich theorems are obtained. Moreover, several particular cases are also noted.

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Published

2024-09-30

How to Cite

Shexo, A., Galib Atshan, W., & Jasim Salim, A. (2024). 3rd-Order Differential Subordination and Superordination Results for Univalent Analytic Functions Associated with Zeta-Riemann Fractional Differential Operator. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(3), Math. 1–25. https://doi.org/10.29304/jqcsm.2024.16.31649

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Section

Math Articles