Sharp results on linear combination of simple expressions of analytic functions

Year 2016, Volume: 45 Issue: 1, 121 - 128, 01.02.2016

Nikola Tuneski Teodor Bulboacă Biljana Jolevska-tuneska

Abstract

In this paper we use methods from the
theory of differential subordinations to study the linear combination
$azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the
module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.

Keywords

analytic, univalent, linear combination, differential inequality, differential subordination

References

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