Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator

Abstract

Let A denote the class of analytic functions with the normalization f(0) = f ′(0)− 1 = 0 in the open unit disc U = {z : |z| < 1}. Set f λ (z) = z + ∞ ∑ k=2 [1 + λ(k − 1)]z (n ∈ N0; λ ≥ 0; z ∈ U), and define f λ,μ in terms of the Hadamard product f λ (z) ∗ f λ,μ = z (1− z)μ (μ > 0; z ∈ U). In this paper, we introduce several subclasses of analytic functions… (More)

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