Abstract
Abstract In the present paper, we obtain some mapping and inclusion properties for subclasses of analytic functions by using a linear operator defined by the Gaussian hypergeometric function. MSC:30C45.
Highlights
Let A denote the class of functions of the form ∞f (z) = z + anzn, ( . ) n=which are analytic in the open unit disk U = {z ∈ C : |z| < }
A function f ∈ A is said to be in the class U ST (α) if f (z) – f (ξ ) > α (z × ξ ∈ U × U; ≤ α < ). (z – ξ )f (z)
A function f ∈ A is said to be in the class U CV(α) if (z – ξ )f (z) +
Summary
1 Introduction Let A denote the class of functions of the form We denote by S the class of all functions in A which are univalent in U. A function f ∈ A is said to be in the class U ST (α) if f (z) – f (ξ ) > α (z × ξ ∈ U × U; ≤ α < ).
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