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.

In this paper, a subclass N(λ, α, A, B) of analytic functions is introduced, which is a generalized class of non-Bazilevič functions. The subordination relations, inclusion relations, distortion theorems and inequality properties are discussed by applying differential subordination method.

In this paper, we introduce some new subclasses of analytic functions related to starlike, convex, close-to-convex and quasi-convex functions defined by using a generalized operator and the differential subordination principle. Inclusion relationships for these subclasses are established. Moreover, we introduce some integral-preserving properties. Key-Words: Starlike function; Convex function; ...

We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterization and subordination properties for this class of analytic functions. Several interesting consequences of our results are also pointed out.

In this paper we introduce new classes of analytic functions with varying argument of coefficients defined by subordination. Several properties like the coefficients inequalities, distortion bounds, subordination theorems and integral means inequalities are investigated. Some consequences of our main results for new or well-known classes of functions are also pointed out. Mathematics subject cl...

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...

Let q1 and q2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions p to satisfy the double subordination chain q1(z)≺ p(z)≺ q2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to Φ-like functions.