Certain Subclasses of Bi–univalent Functions Satisfying Subordinate Conditions
نویسنده
چکیده
In this paper, we introduce and investigate each of the following subclasses: SΣ(λ ,γ ;φ), H S Σ(α), RΣ(η ,γ ;φ) and BΣ(μ ;φ) (0 λ 1; γ ∈ C {0}; α ∈ C; 0 η < 1; μ 0) of bi-univalent functions, φ is an analytic function with positive real part in the unit disk D, satisfying φ(0) = 1, φ ′(0) > 0, and φ(D) is symmetric with respect to the real axis. We obtain coefficient bounds involving the Taylor-Maclaurin coefficients |a2| and |a3| of the function f when f is in these classes. The various results, which are presented in this paper, would generalize and improve those in related works of several earlier authors.
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