Majorization and Quasi-Subordination Problems for Certain Subclasses of Holomorphic Functions Utilizing Differential Operator

Luay Thabit  Ahmed; Abdul Rahman S. Juma

doi:10.24996/ijs.2024.65.7.25

Authors

Luay Thabit Ahmed Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
Abdul Rahman S. Juma Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.7.25

Keywords:

Differential Operator, Majorization, Quasi-Subordination, Holomorphic Functions, Fekete-Szego inequality

Abstract

In the current paper, we define some subclasses of holomorphic functions in the open disk that are defined by the differential operator. These subclasses are defined in the open disk . We make some estimates for the bounds of the Fekete-Szego inequality as well as the coefficients and for functions that belong to these subclasses. Also, some of the results of these subclasses have been generalized, particularly those that involve the majorization and quasi-subordination concepts.

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Published

2024-07-30

Issue

Vol 65 No 7 (2024)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Majorization and Quasi-Subordination Problems for Certain Subclasses of Holomorphic Functions Utilizing Differential Operator. (2024). Iraqi Journal of Science, 65(7), 3860-3865. https://doi.org/10.24996/ijs.2024.65.7.25