International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 520698, 11 pages
doi:10.1155/2008/520698
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
Abstract
For λ>−1 and μ≥0, 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=(1−μ)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.