Techniques of the differential subordination for domains bounded by conic sections.
Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions
In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.
On conformal representations of the interior of an ellipse.
Sharp norm estimate of Schwarzian derivative for a class of convex functions
We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.
A note on Briot-Bouquet-Bernoulli differential subordination
Let be analytic functions in the unit disk . For the authors consider the differential subordination and the differential equation of the Briot-Bouquet type: with . The aim of the paper is to find the dominant and the best dominant of the above subordination. In addition, the authors give some particular cases of the main result obtained for appropriate choices of functions .
New trends in geometric function theory.
Subclasses of K-uniformly Convex and Starlike Functions Defined by Generalized Derivative, II
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