The order of convexity for an integral operator

In this paper we consider an integral operator for analytic functions in the open unit disk and we derive the order of convexity for this integral operator, on certain classes of univalent functions.

Univalence conditions and properties of a new general integral operator

In this paper, we obtain univalence conditions and the order of convexity of a new general integral operator defined on the space of normalized analytic functions in the open unit disk U. Also, we give some other properties on the class N(ϕ). Results presented in this paper may motivate further reserch in this fascinating field.

Univalency and Convexity Conditions for a General Integral Operator

For analytic functions f and g in the open unit disc 𝕌, a new general integral operator is introduced. The main objective of this paper is to obtain univalence condition and order of convexity for this general integral operator.

Some Convexity Properties of Certain General Integral Operators

The main object of the present paper is to discuss some extensions of certain integral operators and to obtain their order of convexity. Several other closely related results are also considered.