Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473512 | Computers & Mathematics with Applications | 2011 | 7 Pages |
Abstract
Certain classes Rk(μ,α);k≥2,μ>−1,0≤α<1 of analytic functions are defined in the unit disc using convolution technique. It is shown that functions in Rk(μ,α)Rk(μ,α) are of bounded radius rotation. It is proved that Rk(μ,α)Rk(μ,α) and some other newly introduced related classes are invariant under the generalized Bernardi integral operator. The converse case as a radius problem is also considered. Theorems proved in this paper are best possible in some sense.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Khalida Inayat Noor, Muhammad Aslam Noor, Eisa A. Al-Said,