SOME RESULTS ON THE CLASS OF $\boldsymbol{\alpha}$-CONVEX
JANOWSKI TYPE FUNCTIONS AND CLASS $\boldsymbol{\mathcal{U}}$

Edmond Aliaga$^1$, Nikola Tuneski$^2$
$^1$Department of Mathematics and Computer Sciences
Faculty of Mathematical and Natural Sciences
University of Prishtina
M. Tereza n.n. 10000 Prishtina, KOSOVO
$^2$Faculty of Mechanical Engineering
Ss. Cyril and Methodius University in Skopje
Karpoš II b.b., 1000 Skopje, REPUBLIC OF MACEDONIA
Abstract. Using methods from the theory of differential subordinations, we obtain several results that describe the relation between two classes univalent functions. Examples that demonstrate these results are provided.
AMS Subject classification: 30C45
Keywords and phrases: analytic function, starlike function, sufficient condition, differential subordination


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DOI: 10.12732/ijam.v28i4.9

Volume: 28
Issue: 4
Year: 2015