A Subordination Result with Salagean-Type Certain Analytic Functions of Complex Order

On Subordination Results for Certain New Classes of Analytic Functions Defined by Using Salagean Operator

In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.

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...

Certain Subclasses of Analytic Functions with Complex Order

Two new subclasses of analytic functions of complex order are introduced. Apart from establishing coefficient bounds for these classes, we establish inclusion relationships involving (n-δ) neighborhoods of analytic functions with negative coefficients belonging to these subclasses.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Neighborhoods of Certain Classes of Analytic Functions of Complex Order

By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Ruscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield known results.