Coefficient Bounds for a New Subclasses of Bi-Univalent Functions Associated with Horadam Polynomials

Najah Ali Jiben  Al-Ziadi

doi:10.24297/jam.v20i.8969

Authors

Najah Ali Jiben Al-Ziadi Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniya-Iraq

DOI:

https://doi.org/10.24297/jam.v20i.8969

Keywords:

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

Abstract

\In this work we present and investigate three new subclasses of the function class of bi-univalent functions in the open unit disk defined by means of the Horadam polynomials. Furthermore, for functions in each of the subclasses introduced here, we obtain upper bounds for the initial coefficients and . Also, we debate Fekete-Szegӧ inequality for functions belongs to these subclasses.

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