Coefficient estimates for a new subclasses of λ-pseudo biunivalent functions with respect to symmetrical points associated with the Horadam Polynomials

Authors: ADNAN ALAMOUSH

Abstract: In the present article, we introduce two new subclasses of λ-pseudo biunivalent functions with respect to symmetrical points in the open unit disk U defined by means of the Horadam polynomials. For functions belonging to these subclasses, estimates on the Taylor -Maclaurin coefficients ja2j and ja3j are obtained. Fekete-Szegö inequalities of functions belonging to these subclasses are also founded. Furthermore, we point out several new special cases of our results.

Keywords: Analytic function, univalent and biunivalent functions, Fekete?Szegö problem, λ-pseudo biunivalent functions with respect to symmetrical points, Horadam polynomials, coefficient bounds, subordination

Full Text: PDF