Making use of the convolution operator we introduce a new class of analytic functions in the open unit disk and investigate some subordination results. c ©2017 All rights reserved.

In this paper we give the coefficients estimates, distortion properties, radii of starlikeness and convexity for classes of functions with varying argument of coefficients defined by convolution and subordination.

Using the principle of subordination, we obtain some inclusion properties of certain subclasses of analytic functions defined by a generalized multiplier transformation. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45

By making use of the Hadamard product, we define a new class of analytic functions of complex order. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained. 2000 Mathematics Subject Classification: 30C45, 30C50.

The object of this paper is to obtain some strong subordination results regarding a new class Sm n (α, β, ρ) defined by using a new generalized multiplier transformation. 2000 Mathematics Subject Classification: 30C80, 30C45, 30A20.

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.

In this article, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator and fractional integral operator for certain normalized analytic functions in the open unit disk.

By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.

T. N. Shanmugam1 and M. P. Jeyaraman2 1 Department of Mathematics, College of Engineering, Anna University, Chennai 600025, India 2 Department of Mathematics, Easwari Engineering College, Chennai 600089, India Correspondence should be addressed to M. P. Jeyaraman, jeyaraman [email protected] Received 27 July 2009; Accepted 8 October 2009 Recommended by Narendra Kumar Govil We apply the general the...

We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Löwner-Kufarev evolution equations. The action functional is constructed and its time variation is obtained. It represents the infinitesimal version of the action of the Virasoro-Bott group over the space of analytic u...