Abstract
Certain classes R k ( 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 R k ( μ , α ) are of bounded radius rotation. It is proved that R k ( 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.
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