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 SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION
In this paper, we drive several interesting subordination results for subclasses of analytic functions defined by convolution. Also number of interesting applications of the subordination results are considered. 2000 Mathematics Subject Classification: 30C45.
A CLASS OF BOUNDED STARLIKE FUNCTIONS
We consider functions f ( z ) = z + … that are analytic in the unit disk and satisfy there the inequality \alpha $" xmlns:mml="http://www.w3.org/1998/Math/MathML"> Re ( f ′ ( z ) + z f ″ ( z ) ) > α , α 1 . We find extreme points and then determine sharp lower bounds on Re f ′ ( z ) and Re ( f ( z ) / z ) . Sharp results for the sequence of partial sums are also found.