International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 520698, 11 pages
Research Article

On Integral Operator Defined by Convolution Involving Hybergeometric Functions

K. Al-Shaqsi and M. Darus

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia

Received 16 September 2007; Accepted 9 January 2008

Academic Editor: Brigitte Forster-Heinlein

Copyright © 2008 K. Al-Shaqsi and M. Darus. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For λ>1 and μ0, we consider a liner operator Iλμ on the class 𝒜 of analytic functions in the unit disk defined by the convolution (fμ)(1)f(z), where fμ=(1μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z))', and introduce a certain new subclass of 𝒜 using this operator. Several interesting properties of these classes are obtained.