- Hacettepe Journal of Mathematics and Statistics
- Vol: 45 Issue: 1
- Sharp results on linear combination of simple expressions of analytic functions
Sharp results on linear combination of simple expressions of analytic functions
Authors : Nikola Tuneski, Teodor Bulboacă, Biljana Jolevska-tuneska
Pages : 121-128
View : 12 | Download : 5
Publication Date : 2016-02-01
Article Type : Research
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