An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained.

ALINA ALB LUPAS¸Abstract. In the present paper we establish several differential superordinations regarding the new operator RD m λ,α defined by using the generalized S˘ al˘ agean operator D m λ f (z) and Ruscheweyh derivative R m f ∞ j=n+1 a j z j , z ∈ U }. A number of interesting consequences of some of these superordination results are discussed. Relevant connections of some of the new resu...

In the present paper, we investigate some subordination and superordination preserving properties of analytic functions associated with the Srivastava-Khairnar-More integral operator defined on the space of normalized analytic functions in the open unit disk U. Several sandwich-type results associated with this transformation are derived. Some useful consequences of the main results are mention...

The purpose of this paper is to derive some subordination and superordination results for functions of the form f(z) = zp + ∞ ∑ k=p+1 akz k which are p−valent in the open unit disk U = {z ∈ C : |z| < 1} by using certain differential operator Aλ,p(α, β, μ)f(z) and integral operator F m p (ρ, θ)f(z). Some special cases are also considered.

We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide. The results pres...

Recently, the generalized hypergeometric function is extended by utilizing the Beta function. Based on this type of function, we introduce a new operator in the open unit disk. The present article investigates some subordination and superordination results for certain normalized analytic functions in the open unit disk, which are acted upon by the generalized Noor integral operator. Some of out...

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

In the present article, we define a new family for holomorphic functions (so-called Bazilevic-Sakaguchi type functions) and determinate strong differential subordination superordination results these by investigating certain suitable classes of admissible functions. These are applied to obtain sandwich results.