Asian Research Journal of Mathematics

Certain Subclass of Bi-univalent Functions Defined by Sălăgean Differential Operator Related with Horadam Polynomials

Dhirgam Allawy Hussein *

Directorate of Education in Al-Qadisiyah, Diwaniyah, Iraq.

*Author to whom correspondence should be addressed.

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Abstract

The goal of this paper is to introduce and investigate a new subclass   of bi-univalent functions using  the Horadam polynomials and Sălăgean differential operator. Furthermore, coefficient estimates are given for   and Fekete-Szegő inequalities for this subclass are obtained.

Keywords: Bi-univalent function, Sălăgean differential operator, Horadam polynomials, Fekete-Szegö inequalities

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