Nanjundan Magesh

Starlike and convex functions of complex order involving the Dziok-Srivastava operator

Making use of Dziok-Srivastava operator we investigate starlike and convex functions of complex order defined by means of Hadamard product.

Coefficient Bounds for Certain Subclasses of Bi-Univalent Function

We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients and for functions in these new subclasses. Also consequences of the results are pointed out.

On certain subclasses of analytic functions associated with hypergeometric functions

Abstract In this paper, we find the necessary and sufficient conditions for functions z F ( a , b ; c ; z ) in the generalized class of β uniformly starlike and β uniformly convex functions of order α and also consequences of the results are pointed out.

Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class . In particular, we obtain integral means inequalities for the function that belongs to the class in the unit disc.

SUBORDINATION AND SUPERORDINATION RESULTS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION

In the present investigation, we obtain some subordination and superordination results involving Hadamard products for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

On a Subclass of Harmonic Convex Functions of Complex Order

We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.

Differential sandwich results for certain subclasses of analytic functions

In the present investigation, we obtain some subordination and superordination results involving Hadamard products for certain analytic functions. Relevant connections of the results are noted and the new results are also pointed out.

On certain subclasses of analytic functions defined by wright generalized hypergeometric functions

In this paper, we introduce a generalized class of starlike functions and obtain the subordination results for various subclasses of starlike functions. Further, we obtain the integral means inequalities for various subclasses of starlike functions. Some interesting consequences of our results are also pointed out.