Abstract
Motivated by generalized derivative operator defined by the authors (El-Yagubi and Darus, 2013) and the technique of differential subordination, several interesting properties of the operator Dλ1,λ2,δm,b are given.
Highlights
Let A denote the class of functions of the form ∞f (z) = z + ∑anzn, (1)n=2 which are analytic in the open unit disk U = {z : z ∈ C, |z| < 1}. let S be the the subclass of A consisting of all functions which are univalent in U
Motivated by generalized derivative operator defined by the authors (El-Yagubi and Darus, 2013) and the technique of differential subordination, several interesting properties of the operator Dmλ1,b,λ2,δ are given
N=2 which are analytic in the open unit disk U = {z : z ∈ C, |z| < 1}
Summary
Motivated by generalized derivative operator defined by the authors (El-Yagubi and Darus, 2013) and the technique of differential subordination, several interesting properties of the operator Dmλ1,b,λ2,δ are given. Let two functions ∑∞ n=2 bnzn be analytic given by f(z) = ∑∞ n=2 anzn in U. If p is analytic in U and satisfies the (second order) differential subordination ψ (p (z) , zp (z) , z2p (z) ; z) ≺ h (z) , (z ∈ U) , (5)
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