Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions

Abstract

In this paper, two bounded bi-univalent function subclasses were defined by using Salagean q-differential operator. The functions are defined in the open unit disc of complex plane. The main purpose is to determine some estimations on the initial Maclaurin coefficients for functions in these subclasses. Finally, the Fekete-Szegö inequalities for these are also obtained.

Bi-Univalent Function Classes Defined by Using a Second Einstein Function

“…where g = f −1 is given by ( 11), E μ is defined by ( 9), and z, ω ∈ U Lemma 5 (see [13,14]). Let l 1 , l 2 ∈ ℝ and…”