Coefficient Bounds and Fekete-Szegӧ Problem for a New Subclasses of Holomorphic Bi-Univalent Functions Defined by Horadam polynomials

Authors

Najah Ali Jiben Al-Zaidi, Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniyah, Iraq,Follow
Abbas Kareem Wanas, Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, IraqFollow

Document Type

Article

Abstract

In the present paper, by making use the Horadam polynomials, we introduce and investigate two new subclasses and of the function class of holomorphic bi-univalent functions in the open unit disk Δ. For functions belonging to this subclasses, we obtain upper bounds for the second and third coefficients and discuss Fekete-Szegӧ problem. Furthermore, we point out several new special cases of our results.

Keywords

Holomorphic function, Bi-univalent functions, Coefficient bounds, Horadam polynomials, Fekete-Szegӧ problem.

Recommended Citation

Al-Zaidi, Najah Ali Jiben and Wanas, Abbas Kareem (2021) "Coefficient Bounds and Fekete-Szegӧ Problem for a New Subclasses of Holomorphic Bi-Univalent Functions Defined by Horadam polynomials," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 2 , Article 5.
Available at: https://doi.org/10.29350/qjps.2021.26.2.1276

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.