Applying Sǎlǎgean operator, for the class A of analytic functions f(z) in the open unit disk U which are normalized by f(0) = f ′(0) − 1 = 0, the generalization of an analytic function to discuss the starlikeness is considered. Furthermore, from the subordination criteria for Janowski functions generalized by some complex parameters, some interesting subordination criteria for f(z) ∈ A are given.

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.

By applying the principle of differential subordination between analytic functions to a substantially general family of linear transformations, we derive an extension of the Briot-Bouquet differential subordination relations given in the monograph on the subject by Miller and Mocanu [8]. We also present a systematic discussion of various other linear transformations associated with differential...

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; ...

This article is a follow-up of an that describes the proponents eternal functional subordination (EFS). evangelical movement was introduced by George Knight in 1977. The EFS refers to relationship between God Father and Son as authoritative position held Father, while occupies subordinated position. not mainline Protestant churches. find origin their premise Bible well tradition early church. J...

The purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. Also, we obtained inclusion relationship for this subclass.

Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.

By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the Sălăgean derivative operator. Some interesting corollaries and consequences of our results are also considered. c © 2007 Elsevier Ltd. All rights reserved.

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...

In this paper we examine which Brownian Subordination with drift exhibits the symmetry property introduced by Fajardo and Mordecki (2006b). We obtain that when the subordination results in a Lévy process, a necessary and sufficient condition for the symmetry to hold is that drift must be equal to -1/2.