Sharp results on linear combination of simple expressions of analytic functions

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Hacettepe Journal of Mathematics and Statistics
Volume: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 TUNESKİ, Teodor BULBOACĂ, Biljana JOLEVSKATUNESKA

Pages : 121-128

View : 48 | Download : 10

Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{`}insert ignore into journalissuearticles values(z); + bf^{`}insert ignore into journalissuearticles values(z); + c\frac{finsert ignore into journalissuearticles values(z);}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{`}insert ignore into journalissuearticles values(z); + \beta\frac{finsert ignore into journalissuearticles values(z);}{z}$.
Keywords : analytic, univalent, linear combination, differential inequality, differential subordination

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