On a class of analytic functions related with generalized Bazilevic type functions

On a class of analytic functions related with generalized Bazilevic type functions

On Generalized Bazilevic Functions Related with Conic Regions

Let A denote the class of analytic functions f z defined in the unit disc E {z : |z| < 1} and satisfying the conditions f 0 0, f ′ 0 1. Let S denote the subclass of A consisting of univalent functions in E, and let S∗ and C be the subclasses of Swhich contains, respectively, star-like and convex in Bazilevič 1 introduced the class B α, β, h, g as follows. Let f ∈ A. Then, f ∈ B α, β, h, g , α, ...

On strongly Bazilevic functions associated with generalized Robertson functions

A Class of Bazilevic Type Functions Defined by Convolution Operator

The aim of this paper is to define and study a class of analytic functions related to Bazilevic type functions in the open unit disc.This class is defined by using a convolution operator and the concept of bounded radius rotation of order ρ . A necessary condition, inclusion result, arc length and some other interesting properties of this class of functions are investigated.

A Subclass of Analytic Functions Associated with Hypergeometric Functions

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.