ON CERTAIN APPLICATION OF FIRST ORDER DIFFERENTIAL SUBORDINATION TO ANALYTIC FUNCTIONS

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

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...

Applications of convolution and‎ ‎subordination to certain $p$-valent functions

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.

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 Classes of p-Valent Functions by Using Complex-Order and Differential Subordination

The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z Ip r, λ f z j 1 / p − j Ip r, λ f z j ≺ a aB A − B β z /a 1 Bz , where Ip r, λ is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting pr...