International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 9, Pages 567-575
doi:10.1155/S0161171202007202

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.