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For the generalized distribution with the Pascal model defined by P(X=j) =Binomial(j+t-1,t-1)pj(1-p)t j∈{ 0,1,2,3,...}, let UP(λ ,α ,μ) and HP(λ ,α) represent the analytic function classes in the open unit disk D={z: z∈ℂ and |z|<1}. The main aim of this paper is to derive the sufficient conditions for functions in these classes.