On some subclasses k-uniformly Janowski starlike and convex functions associated with t-symmetric points

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

On Janowski Starlike Functions

Generalized Hypergeometric Functions and Associated Families of k-Uniformly Convex and k-Starlike Functions

In this lecture, we aim at presenting a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function and then investigating its various mapping as well as inclusion properties involving such subclasses of analytic and univalent functions as (for example) k-uniformly convex functions and k-starlike functions. Relevant conne...

NEW CLASSES OF k-UNIFORMLY CONVEX AND STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS

In this paper we introduce new subclasses of k-uniformly convex and starlike functions with respect to other points. We provide necessary and sufficient conditions, coefficient estimates, distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for these classes. We also obtain integral means inequalities with the extremal functions for these classes.

On Starlike and Convex Functions with Respect to k-Symmetric Points

We introduce new subclasses S σ,s k λ, δ, φ and K σ,s k λ, δ, φ of analytic functions with respect to k-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.