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Mathematics

Al-Qadisiyah Journal of Pure Science

Journal

Holomorphic function

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Coefficient Bounds And Fekete-Szegӧ Problem For A New Subclasses Of Holomorphic Bi-Univalent Functions Defined By Horadam Polynomials, Najah Ali Jiben Al-Zaidi, Abbas Kareem Wanas Apr 2021

Coefficient Bounds And Fekete-Szegӧ Problem For A New Subclasses Of Holomorphic Bi-Univalent Functions Defined By Horadam Polynomials, Najah Ali Jiben Al-Zaidi, Abbas Kareem Wanas

Al-Qadisiyah Journal of Pure Science

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.


Faber Polynomial For Holomorphic Functions Involving Differential Operator, Huda Fawzi Hussian, Abdul Rahman Salman Juma Apr 2021

Faber Polynomial For Holomorphic Functions Involving Differential Operator, Huda Fawzi Hussian, Abdul Rahman Salman Juma

Al-Qadisiyah Journal of Pure Science

The purpose of this paper, is to present differential operator for the univalent functions employ a Faber Polynomial . In addition, we will introduce some inclusion properties of the operator that were obtained employ the principle of subordination between holomorphic functions.