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.

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.

Both the theory of differential subordination and its dual, superordination, introduced by Professors Miller Mocanu are based on reinterpreting certain inequalities for real-valued functions case complex-valued functions. Studying superordination properties using different types operators is a technique that still widely used, some studies resulting in sandwich-type theorems as present paper. T...

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 discuss and introduce a new study using an integral operator wk,μm in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination superordination formula generalized operator. addition, certain theorems were found. The theory’s features outcomes are symmetric to those derived the theory.

Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios. The results presented in this paper use concept embedded into theories differential subordination superordination established developed geometric function theory. As an extension classical subordination, was first introduced 2011. In order gener...

In the present investigation, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator H l m[α1] for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.

In the present paper, we derive some subordination and superordination results associated with a linear operator. Several sandwich-type results involving this operator are also proved. 2000 Mathematics Subject Classification: 30C45.

Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion relationships and integralpreserving properties associated with these subclasses are proved. Several subordination and superordination results...