DOI Number : 10.5614/itbj.sci.2010.42.2.5
Hits : 8

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

Email: maslina@ukm.my, rabhaibrahim@yahoo.com

 


Abstract.

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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