Integral operator defined by k-th Hadamard product

Abstract

We introduce an integral operator on the class A of analytic functions in the unit disk involving k-th Hadamard product (convolution) corresponding to the differential operator defined recently by Al-Shaqsi and Darus. New classes containing this operator are studied. Characterization and other properties of these classes are studied. Moreover, subordination and superordination results involving this operator are obtained.