Quasi Subordination Properties of Bi-Univalent Functions By Using Generalized Srivastava-Attiya Operator

Authors

  • Firas N. Hameed Ministry of Education, General Directorate of Education in Anbar Governorate, Anbar, Iraq
  • Nihad H. Shehab Ministry of Education, General Directorate of Education in Anbar Governorate, Anbar, Iraq https://orcid.org/0000-0002-7017-4490

DOI:

https://doi.org/10.24996/ijs.2024.65.8.28

Keywords:

Analytic functions, Bi-Univalent functions, subordinations, Univalent functions

Abstract

In this paper, we conduct an investigation into a novel subclass of bi-univalent functions within the unit disk. The introduced subclass incorporates the generalized Srivastava-Attiya operator and satisfies specific quasi-subordination conditions. Through this study, the researchers determine the coefficient estimates  and  for functions within these subclasses and unveil new results by applying the operator to this particular subclass. The implications of these findings extend to complex analysis, number theory, and other branches of mathematics. Overall, this research significantly contributes to the theory of quasi-subordination of bi-univalent functions and enhances the understanding of the diverse applications of the Generalized Srivastava-Attiya Operator.

 

Author Biography

Firas N. Hameed, Ministry of Education, General Directorate of Education in Anbar Governorate, Anbar, Iraq

 

 

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Published

2024-08-30

Issue

Section

Mathematics

How to Cite

Quasi Subordination Properties of Bi-Univalent Functions By Using Generalized Srivastava-Attiya Operator. (2024). Iraqi Journal of Science, 65(8), 4468-4477. https://doi.org/10.24996/ijs.2024.65.8.28

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