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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