in the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.

In this paper, we introduce a generalized class of k−uniformly starlike functions and obtain the subordination results and integral means inequalities . Some interesting consequences of our results are also pointed out. 2000 Mathematics Subject Classification: 30C45, 30C80.

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

We determine the sufficient conditions for subordination for new classes of normalized analytic functions with applications in fractional calculus in complex domain. 2010 Mathematics Subject Classification: 34G10, 26A33, 30C45.

Objective: The objectives of the present study are to introduce some new subclasses analytic functions involving (p,q)-derivatives by using subordination. We derive Fekete-Szegö inequalities for belonging subclasses. Method: Using concept (p,q)-derivative a function and subordination principle between we Findings: problem may be considered as one most important results about univalent functions...

Let k be a positive integer and let Dcpkq denote the space of joint distributions for k-tuples of selfadjoint elements in C -probability space. The paper studies the concept of “subordination distribution of μ ` ν with respect to ν” for μ, ν P Dcpkq, where ` is the operation of free additive convolution on Dcpkq. The main tools used in this study are combinatorial properties of R-transforms for...