Certain Class of Bi-Univalent Functions Defined by Sălăgean q-Difference Operator Related with Involution Numbers

On univalent functions defined by a generalized Sălăgean operator

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator

In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We  estimate the coefficients $|a_{2} |$ and  $|a_{3} |$ for functions in these new subclasses. Several  consequences of the result are also pointed out.

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 certain classes of p - valent functions defined by Sălăgean operator

Let Ap be the class of analytic functions f which are of the form f(z) = z + ∞ ∑ m=p+1 am z , (p ∈ N = {1, 2, 3, ...}), defined in the open unit disk U = {z ∈ C : |z| < 1}. We introduce the class M(α, β, n, p) and also the subclass M?(α, β, n, p). The aim of the present paper is to derive some convolution properties for functions belonging to the class M?(α, β, n, p). 2010 Mathematics Subject C...

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions

In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analy...