Abstract
The purpose of this study is to develop a conception of the differential subordination involving harmonic means of the expressions \(\psi (p(z), zp'(z);z)\), where p is an analytic function in the unit disk, such that \(p(0)=1, p(z)\not \equiv 1\). Here, we discuss convex weighted harmonic means and we find some applications in the theory of analytic functions.
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