DOI Number : 10.5614/itbj.sci.2010.42.2.5
Hits : 6

Integral Operator Defined by k−th Hadamard Product

Maslina Darus & Rabha W. Ibrahim

School of Mathematical Sciences

Faculty of science and Technology, Universiti Kebangsaan Malaysia

Bangi 43600, Selangor Darul Ehsan, Malaysia




We introduce an integral operator on the class 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.

Keywords: Hadamard product; integral operator; subordination; superordination.

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