On General Integral Operator of Analytic Functions

Some properties of a general integral operator

In this paper‎, ‎we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $mathcal{S}^{*}(alpha),$ $mathcal{K}(alpha),$ $mathcal{M}(beta),$ $mathcal{N}(beta)$ and $mathcal{KD}(mu,beta).$‎

On certain general integral operators of analytic functions

In this paper, we obtain new sufficient conditions for the operators Fα1,α2,...,αn,β(z) and Gα1,α2,...,αn,β(z) to be univalent in the open unit disc U , where the functions f1, f2, . . . , fn belong to the classes S(a, b) and K(a, b). The order of convexity for the operators Fα1,α2,...,αn,β(z) and Gα1,α2,...,αn,β(z) is also determined. Furthermore, and for β = 1, we obtain sufficient conditions...

New Classes of Analytic Functions Involving Generalized Noor Integral Operator

Ozaki's conditions for general integral operator

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...

Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.