We introduce the class of analytic and univalent functions of the formfor z ∈△: = {z: |z| < 1} that satisfies, z∈△, such that L and M are fixed numbers where satisfy −1 ≤ M < L ≤ 1, τ ≥ 0, λ > −1 and μ is arbitrary complex number. We denote this subclass by 𝑄 μ (τ, λ, L, M). In this paper, we determine coefficients estimates, distortion theorem and maximization theorem for the new subclass 𝑄 μ (τ, λ, L, M).