Rabha W. Ibrahim
School of Mathematical Sciences Faculty of science and Technology, Universiti Kebangsaan Malaysia Bangi 43600, Selangor Darul Ehsan, Malaysia

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Integral Operator Defined by k-th Hadamard Product Maslina Darus; Rabha W. Ibrahim
Journal of Mathematical and Fundamental Sciences Vol. 42 No. 2 (2010)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2010.42.2.5

Abstract

We introduce an integral operator on the class A of analytic functions in the unit disk involving k Æ’{ 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.