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.

In this paper, we generalize the well known differential operator by using a generalized hypergeometric function. By applying this operator, we introduce a new class of non-Bazilević functions and derive subordination and superordination results for the class in the unit disk. Relevant connections of the results presented in this paper are also pointed out with various other known results.

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.

Let q1 and q2 be univalent in ∆ := {z : |z| < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f(0) = 0 , f ′(0) = 1 to satisfy q1(z) ≺ zf ′(z) f(z) λ ≺ q2(z).

Using the methods of differential subordination and superordination, sufficient conditions are determined on the Liu-Srivastava linear operator of meromorphic functions in the punctured unit disk to obtain respectively the best dominant and the best subordinant. New sandwich-type results are also obtained. 2000 Mathematics Subject Classification: Primary 30C80; Secondary 30C45

The current study is fully devoted to studying differential subordination and superordination theorems of analytic functions with some sandwich results involving linear operators Iλs,a,μ. This operator was obtained by the Hadamard product family integral Hurwitlz-Lerch Zeta function. demonstrate possibility capability extracting Sandwich theorem, conclusion includes superordination.

the purpose of this article is to obtain some subordination and superordination preserving properties of meromorphic multivalent functions in the punctured open unit disk associated with the linear operator p Q γ β α , , the sandwishtype results for these meromorphic multivalent functions are also considered. 2010 Mathematics Subject Classification: Primary 30C45. Keywords— Meromorphic function...

The results obtained by the authors in present paper refer to quantum calculus applications regarding theories of differential subordination and superordination. These are established means an operator defined as q-analogue multiplier transformation. Interesting superordination derived involving functions belonging a new class normalized analytic open unit disc U, which is investigated here usi...