On subordination for certain subclass of analytic functions

Subordination Properties for Certain Analytic Functions

A. A. Attiya,1, 2 Nak Eun Cho,3 and M. A. Kutbi4 1Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt 2Department of Mathematics, Teachers’ College in Abha, King Khalid University, Abha, P.O. Box 249, Saudi Arabia 3Department of Applied Mathematics, Pukyong National University, Pusan 608-737, South Korea 4Department of Mathematics, Faculty of Science, Ki...

On Fekete-Szegö Problems for Certain Subclass of Analytic Functions

The purpose of the present paper is to derive the Fekete-Szegö inequality for the class , ( ) s M    of normalized analytic functions ( ) f z defined on the open unit disk for which , , ( ( )) ' ( ) s s z f z f z       lies in a region starlike with respect to 1 and symmetric with respect to the real axis.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Subordination Results for Certain Classes of Analytic Functions

In the present paper, we derive some subordination results for certain classes of analytic functions by making use of a subordination theorem. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

On Certain Subclass of Analytic Functions with Fixed Point