On coefficients estimate for subclasses of bi-univalent functions defined by Ruscheweyh derivative operator

Kassim A.  Jassim; Adnan Aziz  Hussein

doi:10.24996/ijs.2025.66.11.32

Authors

Kassim A. Jassim Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Adnan Aziz Hussein Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.11.32

Keywords:

bi-univalent, Ruscheweyh derivative, Coefficients bounds, Analytic function, Starlike function, Convex function

Abstract

This paper presents two subclasses of analytic and bi-univalent functions associated with the Ruscheweyh derivative operator to investigate the bounds for and where and are the initial Tayler-Maclaurin coefficients. The current results would generalize and improve some corresponding recent works. Additionally, in certain cases, our estimates correct some of the existing coefficient bounds.

Downloads

Published

2025-11-30

Issue

Vol 66 No 11 (2025)

Section

Mathematics

License

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

How to Cite

[1]

K. A. . Jassim and A. A. . Hussein, “On coefficients estimate for subclasses of bi-univalent functions defined by Ruscheweyh derivative operator”, Iraqi Journal of Science, vol. 66, no. 11, pp. 5088–5096, Nov. 2025, doi: 10.24996/ijs.2025.66.11.32.