On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives

Abstract

Let H be the class of functions f(z) of the form f(z)=z+∑ K=2 + ∞a k z k, which are analytic in the unit disk U={z;|z|<1}. In this paper, we introduce a new subclass Bλ(μ,α,ρ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include the related results of some authors as their special case. We also get some new results.