Coefficients Estimates of New Subclasses for Univalent Functions Related to Complex Order.

We introduce the class of analytic and univalent functions of the form f(z) = z + ∑ az ∞ j j=2 for z ∈ △:= {z: |z| < 1} that satisfies 1 + 1 μ {(Sλ tf(z)) ′ − 1} ≺ (1+Lz) (1+Mz), z∈△, such that L and M are fixed numbers where satisfy −1 ≤ M < L ≤ 1, T ≥ 0, λ > −1 and μ is arbitrary complex number. We denote this subclass by Qμ (τ, λ, L, M). In this paper, we determine coefficients estimates, distortion theorem and maximization theorem for the new subclass Qμ (τ, λ, L, M). [ABSTRACT FROM AUTHOR]