Abstract
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order \(\alpha\) and from the class \(\mathcal{CVH}(\beta)\) and also we estimate the first two coefficients for functions obtained by this operator applied on the class \(\mathcal{CVH}(\beta)\).
Highlights
By S we denote the class of all functions from A which are univalent in U
A function f ∈ A is in the class S∗(α), of starlike functions of order α if
We consider the class CVH(β) which was introduced by Acu and Owa in [1]
Summary
By S we denote the class of all functions from A which are univalent in U . We denote by K(α) the class of all convex functions of order α (0 ≤ α < 1) that satisfy the inequality: Re zf f (z) (z) Integral operator, starlike function, convex function, coefficients estimation. A function f ∈ A is in the class S∗(α), of starlike functions of order α if
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