A class of Bazilevic type functions defined by convolution operator

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.

On Integral Operator Defined by Convolution Involving Hybergeometric Functions

Recommended by Brigitte Forster-Heinlein For λ > −1 and μ ≥ 0, we consider a liner operator I μ λ on the class A of analytic functions in the unit disk defined by the convolution f μ −1 * fz, where f μ 1 − μz 2 F 1 a, b, c; z μzz 2 F 1 a, b, c; z , and introduce a certain new subclass of A using this operator. Several interesting properties of these classes are obtained.

Bi-concave Functions Defined by Al-Oboudi Differential Operator

The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.

On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

In this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎Some of our results improve‎ ‎and generalize previously known results‎.

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