Subordination Results for Certain Subclasses of Uniformly Starlike and Convex Functions Defined by Convolution
In this paper we derive several subordination results for certain subclasses of uniformly starlike and convex functions defined by convolution.
Subordination results for a class of analytic functions
Abstract In this paper, we derive several subordination results and integral means result for certain class of analytic functions with complex order defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered
On Hilbert's thirteenth problem and related questions
Hilbert's thirteenth problem involves the study of solutions of algebraic equations. The object is to obtain a complexity estimate for an algebraic function. As of now, the problem remains open. There are only a few partial algebraic results in this connection, but at the same time the problem has stimulated a series of studies in the theory of functions with their subsequent applications. The most brilliant result in this cycle is Kolmogorov's theorem on superpositions of continuous functions.