In this paper, we obtain known the class T U H * ( γ , n , μ , l , β ) by working application of the Catas operator and we provide sufficient and necessary conditions for the functions to be in T U H * ( γ , n , μ , l , β ) .

In this paper, making use of the q-R uscheweyh differential  operator , and  the  notion of t h e J anowski f unction, we study some subclasses of  holomorphic   f- unction s . Moreover , we obtain so me geometric characterization like co efficient es timat es , rad ii of starlikeness ,distortion theorem , close- t o- convexity , con vexity, ext reme point s, neighborhoods, and the i nte gral mean inequalities of func tions affiliation to these c lasses

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