Article ID Journal Published Year Pages File Type
473512 Computers & Mathematics with Applications 2011 7 Pages PDF
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
, , ,