Abstract

In this research article, by making use of S$\check{a}$l$\check{a}$gean differential operator, we introduce and investigate a new subclass of analytic and bi-univalent functions using the Horadam polynomial. We derive the coefficient estimate and obtain Fekete-Szeg\"{o} inequality for functions in this subclass.

Keywords and Phrases

S$\check{a}$l$\check{a}$gean differential operator, Horadam polynomials, coefficient estimates, Fekete-Szeg\"{o} inequality.

A.M.S. subject classification

30C45, 30C50.

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