Some Properties for an Integral Operator Defined by Al-oboudi Differential Operator

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.

Univalence preserving integral operators defined by generalized Al-Oboudi differential operators

In this paper, we investigate sufficient conditions for the univalence of an integral operator defined by generalized Al-Oboudi differential operator.

On a Certain Subclass of Analytic Functions Involving the Al-oboudi Differential Operator

Abstract: In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and integral mean inequalities of a differential operator for this class are given. We investigate various subordination results for the subclass of analytic functions and obtain sufficient co...

Sufficient Conditions for Univalence of an Integral Operator Defined by Al-Oboudi Differential Operator

AN INTEGRAL UNIVALENT OPERATOR DEFINED BY GENERALIZED Al-OBOUDI DIFFERENTIAL OPERATOR ON THE CLASSES Tj, Tj,μ AND Sj(p)

In [4], Breaz and Breaz gave the univalence conditions of the integral operator Fα,n of the analytic functions belonging to the classes T2, T2,μ and S(p). The purpose of this paper is to generalize the integral operator Fα,n by means of the generalized Al-Oboudi differential operator and investigate univalence conditions of this generalized integral operator considering the classes Tj , Tj,μ an...