Abstract
Abstract In the present investigation, we consider a new subclass Σ ( τ , γ , φ ) of the class Σ consisting of analytic and bi-univalent functions in the open unit disk U . For functions belonging to the class Σ ( τ , γ , φ ) introduced here, we obtain estimates on the first two Taylor–Maclaurin coefficients | a 2 | and | a 3 | . Several related classes of analytic and bi-univalent functions in U are also considered and connections to some of the earlier known results are pointed out.
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