# Differential Subordinations and Harmonic Means

Bulletin of the Malaysian Mathematical Sciences Society, Mar 2015

The aim of a study of the presented paper is the differential subordination involving harmonic means of the expressions $p(z)$, $p(z) + zp'(z)$, and $p(z) + \frac{zp'(z)}{p(z)}$ when $p$ is an analytic function in the unit disk, such that $p(0)=1, p(z)\not \equiv 1$. Several applications in the geometric functions theory are given.

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Stanisława Kanas, Andreea-Elena Tudor. Differential Subordinations and Harmonic Means, Bulletin of the Malaysian Mathematical Sciences Society, 2015, 1243-1253, DOI: 10.1007/s40840-014-0078-9